No win. Rook and bishop pawns on 7th draws (unless attacking king is close enough), other pawns win.
can white win here?

As long as the enemy king is not close enough, a king and lone pawn draws against a king and queen when the pawn is specifically on the a, c, f and h files but is a loss on the other 4.

Hey, zep, this looks like a draw to me, also. I haven't used c.c analysis in a long time, but, I wonder if perhaps the analysis didn't factor in the positions on the board as much as the fact white has a queen and black has a pawn?

The idea for this is that the queen cannot stop checking without allowing stalemate.
The queens wins against any pawn on the 6th or below, and against one out of two on the 7th (well, it also wins when the attacking king is well-placed, in around 40% of the bishop-file case and 25% of the rook-file case).
The three key positions (on a rook file, on a bishop file and on another file):
Nope, it's a theoretical draw! The chess.com computer is just not smart enough to see that the king can never be made to leave the pawn. Incidentally, the position is drawn for rook and bishop pawns, but won for white in the case of knight and centre pawns. There are probably videos on the chess.com website that explain this ending in detail.