No, not for humans.
Is It Possible For Someone To Reach 3500 - 4000 Elo?
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Definitely, going to take a while though.
No.
I think one can only get so good. I feel if ratings get that high every game will be a draw. A boring, perfect, game.
Just A Random Question That Filled My Mind. Since Someone That Has Higher Ranks Can Lose Games Such As Magnus Carlsen and Hikaru Nakamura. But Is It Possible To Maintain A Win Streak That Can Reach 3500 - 4000 Elo Of Such?