'Crossed beak' is when the face/ beak doesn't grow straight, so the top upper and lower beak don't mesh properly. It starts as a very minor deviation, and gets worse as the bird grows, with the need for serious management, because these birds can't eat normally, they need extra care. And it's...
Good advise above, with added comments: multiple feeders and waterers, and plenty of space, especially with out of sight areas, makes all this a lot more peaceful. Crowding is really bad for birds of any age.
Mary
Welcome!
Are your birds all the same age? If yes, cockerels mature before the pullets, and aren't ready for this activity yet. in a flock with older birds, hens and a rooster, this guy would learn better manners from the adults.
And, no cross beaked bird should reproduce! He'd be gone here...