Not after e6 gets entrenched. By move 30 any attempt to attack as black means moving the queen and there isnt a solid way to do that AND not lose material stopping the pawn. He needed his bishop on e4 to take that away way way back on move 26 or 27.... from there it goes from bad to worse.
Ruy Lopez craziness
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Here is a game I played a month ago in which i felt there might have been much more trouble for me in the end with his pawns marching my king, would have you found a way for black to win?