If it gives you pleasure studying and playing chess, fine. Do not expect to get any titles in a few months. If you do get a title then what ? Also, if you set a goal, ie; CM in 2 years and don't attain it, will you quit chess ? For many people, if they enjoy their matches, they continue to find pleasure in the game and continue. Many plateau out at certain Ratings. Will that deter you from continuing or putting in as much time as you do into chess ? who knows. time will tell.
Is it possible for me to attain any chess title?

If it gives you pleasure studying and playing chess, fine. Do not expect to get any titles in a few months. If you do get a title then what ? Also, if you set a goal, ie; CM in 2 years and don't attain it, will you quit chess ? For many people, if they enjoy their matches, they continue to find pleasure in the game and continue. Many plateau out at certain Ratings. Will that deter you from continuing or putting in as much time as you do into chess ? who knows. time will tell.
It gives my incredible pleasure studying chess. I think I might have missed my true passion as a child and found it a little bit too late. But still, I want to improve as much as I can despite my age and attaining any chess title would be a dream come true to me.

Playing thru / analyzing well annotated games by Masters can improve your playing strength and give you satisfaction, understanding more positions.
In my era, I enjoyed doing that with game collections analyzed by the players, ie; Botvinnik, Fischer, Alekhine and also tournament books, ie; Zurich 1953 is excellent -- that book alone some Experts credit with making big leaps in their chess strength. Good luck to you in your journeys !

You can get this title tho: https://www.chess.com/forum/view/community/a-new-titled-player-in-town-its-ya-boi-leo?quote_id=63199029&page=1#comment-63199029.
I kid. You'll never know unless you do it especially if it is important to you.

You say you play and study everyday, but not for how long.
Anyways, I believe, no matter what the starting point is, that an NM is possible for everyone.
The question is not "can you get a title", the question really is, "Are you going to put in the work to become a titled player?"

You say you play and study everyday, but not for how long.
Anyways, I believe, no matter what the starting point is, that an NM is possible for everyone.
The question is not "can you get a title", the question really is, "Are you going to put in the work to become a titled player?"
I don't count. Usually I solve at least 25 puzzles a day, I play a couple 10 minutes games, I watch a dozen of chess videos, I go to a chess club once a week.

I hate to say something is impossible, but it probably isn't possible and even if it were, I don't know that it would be wise. Getting a title is a real full-time commitment, almost like having a job. I think part of the reason why it is easier to get a title if you started young is just the practical reason that you have parents to financially support you during such a large investment of time just learning the game. And as impressive as a 1600 rating on chess.com rapid may be, what matters in getting a title is OTB play, which is going to be a more talented and less dilute player pool than on chess.com. My suspicion is than OTB you would probably not be rated so high. Even if you did eventually get the title, you will learn that despite your time investment, you really can't earn much in return by just playing unless you are a super GM. You need to do other things like coach, or write books, or create content on twitch, etc.
Now, I know that I have been a little bit of a downer, but I should also add that it is perfectly ok to just enjoy playing and even deeply studying chess just as a hobby without getting a title. I think if people are of the mindset that they cannot enjoy chess without receiving a title, than I really question how much they enjoy chess.

I hate to say something is impossible, but it probably isn't possible and even if it were, I don't know that it would be wise. Getting a title is a real full-time commitment, almost like having a job. I think part of the reason why it is easier to get a title if you started young is just the practical reason that you have parents to financially support you during such a large investment of time just learning the game. And as impressive as a 1600 rating on chess.com rapid may be, what matters in getting a title is OTB play, which is going to be a more talented and less dilute player pool than on chess.com. My suspicion is than OTB you would probably not be rated so high. Even if you did eventually get the title, you will learn that despite your time investment, you really can't earn much in return by just playing unless you are a super GM. You need to do other things like coach, or write books, or create content on twitch, etc.
Now, I know that I have been a little bit of a downer, but I should also add that it is perfectly ok to just enjoy playing and even deeply studying chess just as a hobby without getting a title. I think if people are of the mindset that they cannot enjoy chess without receiving a title, than I really question how much they enjoy chess.
Well, If I'm not going to have any titles it's fine. I don't study chess only beacuse I want to have one. Nevertheless, attaining any title would mean a world to me and that's why I'm gonna keep on practicing and see if I am going to get one or not.

Looking at your rating progression and considering that you have been playing for less than a year, I wouldn't rule it out, but it will not happen in a few months.
If you haven't done so already, I would recommend two things:
1) Join a real, over-the-board club, or if your university has such a thing, their chess society. I did that during university, and it gave me a sense of perspective that is often missing when only playing online.
2) Get a coach, there are many advertising here and on lichess. Ideally an experienced one who is also a titled player, and knows what it takes.

Effectively you are asking if you can start playing competitively and gain 600 FIDE rating points per year, to get at 2200 which is the requirement for CM. The answer is no, unless you stop doing anything else than studying chess right now.

I became interested in chess when I was 21 and rated competitions about three years later. Over the years I read a few books, learned a couple of openings, played at the local chess club most Fridays and an occasional weekend tournament. I enjoyed playing, didn't take it too seriously or do a lot of studying, never had a coach and after about fifteen years of slow but steady rating gains passed 2100 USCF otb. Then job commitments made it impossible for me to play regularly, I was out of practice when I did, and my rating sank to 1990 and chances to play became rarer, so I quit. I came back after I retired but don't do too well now. Should I have been able to continue it's likely I could have become a NM as I was winning more of my games against masters as I neared that strength.
So if you are a little more ambitious than I was there is certainly a fair chance that in time you could become a NM or FM. Doing in just two years is less probable. Actually earning an IM title is much less likely. And doing it in just two years is likely impossible. Play because you enjoy the game and hopefully good results will follow.
A rare few can start late and become very strong players. Famous French artist Marcel Duchamp knew the game and played some with his siblings as a teenager but didn't play much until a group of artist friends got him hooked in his early twenties. He decided chess was a better outlet for his creative endeavors when he neared 30, so he took lessons and started competing in tournaments. He returned to Europe (from New York, where he spent WWI) and in the next 10-12 years finished third in the Belgian national championship, won the European postal championship, was champion of Normandy, champion of Paris and played on five French Olympiad team along with Alekhine. He fled to the US when WWII started and after Elo ratings were invented reached a USCF rating of 2413 when he was well past age 60. Had ratings and titles existed when he was at his best he certainly would have been an IM though perhaps not a GM.
If you have the exceptional talent he had you actually could be an IM or more, but if you don't show amazing progress soon you'll have no chance to reach that strength.
I started playing chess at the age of 21 in April this year. Currently I am at the rating of 1640 on chess.com rapid. I want to take chess seriously and I've been studying this game every day since April. I was wondering if I was to continue practicing chess like I've been doing for a couple months now would it be possible for me to attain any chess title like CM. I still have at least two years before going to a real job as I'm currently studying on the university. What are your thoughts about it?