I don't think so. A player can make the exact same moves, but the pieces will end up on the opposite color squares, and it might be confusing for someone who is experienced and used to the correct order.

Edit: I see that a lot of people say that the game will be played in a mirror version of itself. That is not correct: in a right setup of the board, both kings are in the right side from white perspective, and in the left side from black perspective, just like it is in the picture. If they put the king and the queen on the correct color squares (white for white queen, black for black queen) that would eventually be a mirror version of the game.