Black's
Can black win in this game?

the position
is winning for white
you just have to try to promote with the the rook and king and try to force white to exchange the pawn with the bishop and then do a 1 rook checkmate
i mean it is winning for black
I also agree with the rest of the comments. It is not a sure win for black, until white mess it up. REASON - The scenario you are talking about is only possible if the white bishop does not take the pawn as soon as it reaches h2. If there is a delay from white, then it could end up in black's win, otherwise, it will end up in a draw due to insufficient pieces or repetitive moves, or there is also a set of moves that would lead to a stalemate position. Try working it out or you can take my words for that!!
I appreciate all the inputs. So we can conclude from the responses up here that most likely, both the players are going to shake hands with a draw after some annoying repetitive moves from White. Thanks.

It looks very hard for white to hold a draw here.
I mean, people struggle to hold a draw in a bishop vs rook endgame, even though that's a theoretical draw.
The fact that we have an extra pawn as well, gives black very good winning chances.
Maybe it's a draw in theory, but white is going to have to fight hard for it. Black will never accept a draw offer here.

Black can win. First, assuming it is his move, black plays h3. Then, the best move is Kf2. Then we play h2. If black takes the rook, then we promote to a queen, and it is won.

Black can win. First, assuming it is his move, black plays h3. Then, the best move is Kf2. Then we play h2. If black takes the rook, then we promote to a queen, and it is won.
Its actually an easy draw after 1. h3+ Kf2 2. h2 Bxh2 whites king just goes to h1 and the bishop goes back and forth form h2 and g1.

Oh yeah. Sorry, I overlooked that! By the way, bishop vs rook is an easy win for black, so if he ignores the pawn, he can easily win.

The position is a draw. Bishop vs Rook is also a draw.
It depends whar corner the king is...in this position it is a draw bebause the bishop can shuffle back and forth between h2-g1 once the pawn is gone. With the pawn it iis a little tricker.. I was able to draw against an engine by moving the bishop along the h2-b8 diagonal.....but not on h2. If the bishop goes to h2 there is a way for black to win if the pawn is still on the board.
Can black win in this game or will this end up in a draw?