You can do it with all Xbox 360 games. Just make sure there's space on the hard drive. You need the disc to play the game, but it doesn't need to read all of it, so often you can get away with a dud disc. You can EVEN save someone else's copy of the game and use your disc to start it up, as far as I know.
So providing it doesn't just say 'this disc is shite' as soon as you put it in, you can get round it.
Try it anyway.