First off, what are you trying to do? If it is run PS3 programs on the Mac, no, you can't for several reasons, both legal and physical.
Second, why? A PS3 game is going to be it's best running natively on a PS3 console. Running it somehow through a Mac won't gain anything.
So, if you already have a PS3, then the question is moot. If you don't have a PS3, then the answer is NO.
Now, if I am misreading the question, and what you want to do is use the display of a Mac for the output, that might be possible if you can get the video stream converted from HDMI to something else, and don't run afoul of any DRM that might be in the stream. But I seriously doubt that it would be worth the trouble.