Thanks for the advice but my question was about the legality of it. Is it possible for someone to get punished for having KP on their computer?

As you mentioned in your post it's possible to accidentally download such material. So I think it'd be dumb to punish someone just for HAVING it. I'm all for the FBI cracking down on the people who MADE it, but I think it'd be a waste of money to lock someone up just for watching a movie or looking at some pics...