Will a full layer of boneless skinless chicken cook all the way through in a crockpot?

Oh yeah they will cook you shouldn't have any problem at all with that. Just make sure NOT to keep opening the lid to look inside. Everytime you lift the lid I read that it takes like 20 minutes or so to regain that lost heat thus adding to your cooking time. Good luck with your crockpot I'm sure you'll really love using it once you get the hang of it!