[fen "1K6/1P3q2/1P6/P7/3k4/8/8/8 w - - 0 1"]
Is there any way that white can win or draw in the above game?
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This position has six pieces on the board, and is hence present in a number of chess endgame tablebases.
For example, the Syzygy tablebases show that this position is a theoretical draw, but that there is only one move which guarantees the draw:
Kc8. All other moves allow black to force a win.
If this position were to occur in an actual game, the result would likely be unclear as it would be incredibly easy for either side to blunder, and end up losing.