Crossed beaks usually get worse until the chick is about three months old and mostly done growing, at which point they're stable. Since it's already this bad, it might be quite severe by that point.
However, many people have happy and long lived crossbeaks, it just takes a bit of extra care.
Your little one will likely always be a bit runty. You can help them out a few ways- deep feeders and wetted mash are both sometimes easier for crossbeaks. Some amount of time alone to eat without competition every day. And gently filing the outside edges of the beak regularly will also help and keep it from over growing and curling. Just be vary careful doing it, its better to take too little and come back another day that too much as the beak is very sensitive and full of nerves.
Do not breed this chicken, crossbeaks are usually genetic in cause.