No, most games doesnt support cross platform. Plus, PC gamers has a huge advantage over console gamers in games like FPS (though some would disagree). There was an article where it said the console version of CoD4 was actually lowered in difficulty and slowed down because of the controller.
I got access to both the console and PC of this game. At the beginning of the stage where you have to do that time limit, you need to do it faster in the PC version (getting shorter time) than the console version to get the same recommended difficulty.