Depends on what you mean by "run".
You can always wipe the firmware and replace with with a PowerPC Linux kernel and subsystems, but it won't play games ever again.
If you mean something better than that, there are several projects out there with that aim, e.g. http://www.wiili.org/index.php?title=Main_Page
Ubuntu. Linux for human beings.
If you are interested in trying Ubuntu or Linux in general, PM me and I will answer your questions and help you install it if you wish.