PSp LCD screen question?

I have two psps, one is a psp phat, and one a slim... the screen on my phat, however, is cracked beyond relief. Would anything bad happen if I were to use my psp slims screen on my phat for not even that long? better question is, would that even be possible? I mainly want to use it so I can make my battery a pandoras battery, but I have to use my cfw phat for that, and, like I said, that can't really happen at the moment.