maybe if you constrain the game to take place on a wooden board, pieces moved by players. Otherwise, e.g. the ions inside some exotic star may be moving in chess like patterns (for a while). who's to say. Where does the disagreement with the Pythagorean ideal stem from, anyway?

Wait what, I thought it occurred already in some IBM computer, no?

There are estimated to be over 10^120 possible games, so probably not.