no, its not physically possible to win against a maximum stockfish 3200 elo [i think] unless you are in a winning position or you play it in a bullet game [ i may be wrong]
I would assume it is, most bots will eventually make mistakes, but even if it doesn't flat out blunder it will probably make a move that is even just good at some point. Depending at the point in the game that may be enough to win, or even just draw.
You could before by premoving scholars mate and eventually it would fall for it. Now they fixed this bug tho