While I'm new to the mac I've used linux/unix for many years and I believe the answer is no. Linux uses Xwindows (X11) for its graphical system and the mac uses a proprietary system called Aqua. It is possible to run X11 apps on a mac but I haven't seen anything that would allow you to go the other way. You could see if the game publisher has a linux version.
As I said I'm new to the mac so if some one has a better answer I'd love to hear it.
Jay