Yes. I can prove it.

i got a 100 accuracy. do view this game . https://www.chess.com/game/live/37517409359

6 book moves
6 best moves
1 great move!
Totaling 13 moves.
Short games are more likely to give 100% perfectly played games. You'd be a lot more impressed if a 39 move game was played with 100% accuracy. I've never seen that.
I have one 100 accuracy game recently.

https://www.chess.com/analysis/game/live/36154695011?tab=review
You can if your game is like one move. But in longer games it is kind of impossible for an amateur player unless cheating. Magnus Cralsen porbably does get close though lol
YES !!! Here is a link to my game ... it was relatively recent too https://www.chess.com/game/live/33189009987
A curiosity, chess.com considers the Fools mate an opening, giving both players 100% accuracy:
I don't know why white receives 100% accuracy for playing such bad moves, but...
Unless you're playing the white pieces against the Stafford.
https://www.chess.com/game/live/38784610093.
i got 100%. played 9 moves. im not that good, was playjng a 300 rated player
It was 100% on another account)))
I'll finish playing daily chess there and close the account.