At the top level chess is too easy for either player to force into a draw-like position for this to be fair. If you added some additional advantage for white (e.g. only white can castle) it might work.
Having a game where one player always tries to win and the other player always tries to draw might not really be the effect you want though.
Having a game where one player always tries to win and the other player always tries to draw might not really be the effect you want though.