It is possible. https://support.chess.com/customer/en/portal/articles/1444777-how-do-ratings-work-?b_id=12321 That will explain why better than I can.
Is this guy cheating with his rating or do I misunderstand?
No, he is not cheating. Your opponent is bad player, I looking at his games and he blunders a lot, even in your game he played the opening badly but you fail to take advantage of his mistakes. You should move Ne1 instead of Nh4 which loses.
If you are a newbie and strong player" expert or master", your rating go up 2000 points in one day, maybe he is average player, so going up 200 points is not that hard.
No, it´s not possible. When you play and have around 1450 in rating and you play someone with 700-800 in rating, its said in the dialog box that if you win you get 0, draw gives -3, and loss gives -15. And these 15 is what your opponent gets. Come on; you can´t be serious arguing that you can get 200 plus in one game...
That is not true. What you see in your rating change dialog is not the same thing your opponent gets. Look at the article linked in post 6. The site uses the Glicko rating system which includes a value of uncertainty, the Rating Deviation (RD). New players, have a very high RD value and can, and will, have huge rating swing in their first few games and it will begin to settle down as they get more games and their rating becomes more accurate.
From that article (and the 1200 listed there is the old default rating, it now can be between 400 and 1800):
When you haven't played many games, your rating can move up and down quickly. Similarly, your rating moves less when playing an opponent with a high rating deviation because his or her true rating is less certain
It seems that your opponent has found a way to hack the chess.com database. It frightens me to think of what else he can possibly do with his set of skills and apparent lack of scruples.
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Ok, I see that it might be so that new players gain a lot of rating, seems strange to me though; thought we all started at 1200 and worked our way slowly up or down; never experienced the same myself when I first started playing chess.com, and never heard of it from other players either...
Since your account is older, you did start at 1200. You also gained 181 points on your first blitz game and 153 in your first rapid.
If your initial ratings actually put you close to your actual strength within the pool, you are likely to see the magnitude of changes drop more quickly. That seems like it may have been true for you, though you still had some higher changes for a little while, as expected with a higher RD for being new in the rating pools.
He isn't cheating. Because he's new and hasn't played many games, his rating takes big leaps.