Queen's indian

Can it be played against everything white does as a system?

I mean like this
If not, where can't it be played and what to replace it with? Thanks for help

It cannot!

The fact that you propose using it as a system shows that you don't know the whole point behind the opening. It is to prevent or substantially delay e4 by White.

After 1.d4 Nf6 2.c4 e6 3.Nf3, the reason it is possible is because Nf3 poses no threat to e4, and so you have 2 moves to stop it. 3...b6 and 4...Bb7.

But if White plays the Catalan (3.g3), he beats you to the diagonal, and if he plays 3.Nc3, he threatens e4. 3...b6?? 4.e4 with a big advantage for White.

This is why here, Black plays 3...Bb4, stopping 4.e4 because of the pin. This is known as the Nimzo-Indian, and is the most common opening that is played in Conjunction with the Queen's Indian.

And in your move order of e6 and b6 first, this is the English Defense. 1.d4 e6 2.c4 (Or 2.e4!!) b6 3.e4 Bb7 and now 4.Bd3 is best and White is way better after ...Nf6 and ...f5 weakens the King. So you still don't have a Queen's Indian. You have the Engliah Defense, which is somewhat dubious as you have allowed e4 with no refutation.

Yes i see. I was just hoping that I can play the rubinstein french against d4. (the queens indian looked exactly like it) If I play QI in the correct way, can it be used against anything besides e4?

Again, no because of 2.c4 and only then 3.e4. 1.d4 e6 2.c4 b6 3.e4 and you are now in a dubious English Defense, no Queen's Indian.

Also, after 2.e4, Rubinstein French cannot be forced. White can also play 3.e5, 3.exd5, or 3.Bd3.

1.d4 1.e6 2.c4 2.Nf6! and they can't play e4, right?

There is a Chessable course entitled "The Accelerated Queens Indian--A Full Repertoire against 1.d4, 1.c4. and 1.Nf3."

you can play 1.b6 agaisnt virtually anything (although its awkward vs 1.g3 and dumb vs 1.g4)
but you will not get a QID every time. QID is from a bloodless pure eval perspective the best of the family defenses you will get.
if you try to force a QID if white plays 3.nc3 and play nf6 prematurely, white gets e4 with advantage. The entire point of QID is to not allow e4 control. (although you can play for bb4 nimzo indian lines where b6 is played eventually)
if you play b6 vs d4 and c4 and do not play early nf6 you can play the english defense which is probably the trappiest sound defense for black in a must win game. the difference being that black has acccess to some very unique counterplay via moves like bb4, qh4+ and f5. the big ccenter rarely holds.
after 1.d4 b6. white can play a bunch of reasonable moves like a london formation or a torre attack or a tromposky-esque bg5. All of these are ok for white but pose no serious theoretical threat for black. perhaps most dangerous is 1.d4 nf3 3.g3 delaying c4 until after 0-0 to avoid bb4. Black should be fine with QID style counterplay but must pay attention to the subtle differences.
1.d4 b6 .e4 is the owen's defense which is better than its reputation but the game takes a different flavor than a QID. Imo the best lines for black resemble unique frenches were long maneuvering on the queenside is the main source of counterplay. They are also other lines where black plays for c5 without d5 but i never fully trusted those. Play in the Owen's is somewhere in between the positional play of the QID and the exposive lines of the english.
Can you play all the of the above? absolutely. I do without a problem. But you must understand that outside a certain familiarity in structure these defenses have little in common. walking in thinking you knowledge of QID will apply to the others will get you in big trouble.