I don't think so
Is it possible to get 100% accuracy in a game?

I don't think so
There are hundreds of examples in this thread only, but FernanJGC is not convinced.

I am new to this threat and am not prepared to go over 75 pages but i suppose the question has been raise if 0% is possible.
If so, is 0% on both sides possible? And what would the game be :-).

I don't think it's possible even for 1 player to reach accuracy zero. Accuracy measures how "close" you are to the best engine line, so there's some kind of metric defined to measure the distance. Since a move will always have a finite distance to the best engine move there will always be a positive percentage accuracy. A zero could probably be interpreted as having infinite distance from the best move which doesn't even mean anything on the board.

I have looked at that post and I fail to see the number "0" in whites accuracy assessment
Maybe it's a white font number on a white background but all I see is a white round corner rectangle.

As a former mathematician I strongly oppose the notion that the absence of something automatically means "zero". If it was zero they could put the number there, no?
Maybe what they actually have is "NaN" (= "not a number" in programmers terms) which is not the same as zero (which is a number).

I got 99.6% accuracy, but my moves were all book moves or perfect moves. Is it possible to get 100% accuracy?
https://www.chess.com/analysis/game/live/4374335351?tab=report
Yes, it is possible. (Short answer)
Yes, it is humanly possible if your game is very short and you manage to "stay" at a certain wdl or "eval" throughout, meaning you played all the best moves (below 10 full moves maybe) or if you are Hans and Magnus abandons the game. Otherwise, it would be challenging. Here's how lichess computes accuracy https://lichess.org/page/accuracy , not sure if it is the same way as chess.com computes it, but should be similar. (Long answer)
The following ought to be 100% accuracy by White:
1.e4 (advance a central pawn)
1...f6
2.d4 (Black did nothing to stop White from taking the center.)
2...g5
3.Qh5# (Undoubtedly the best move)
1-0