No, you won't get a stalemate. I have forced you into a position where your king always has a move available, and nothing more, and I'm in a position to promote my pawn without interference. If I played correctly, I could even mate you without promoting the pawn, though it's a little riskier. But since a pawn can promoted to a piece of either army, it's only a matter of time and making sure I don't promote (to a queen of course) when your king is on a7 and your last pawn is stuck. The outcome is inevitable. Sorry.