It may or may not. Won't know until you try.
If it's really worn out your only choices for restoration may be relining or rebarreling. Numrich may have a barrel, but it might not be any better than what you have.
That said, I've never seen a worn out .22 barrel. Was it rusted, or is the muzzle just shot from too much use of sectioned cleaning rods? If it's just the muzzle you may be able to cut it back a little and recrown.
Proud member of the NRA and Texas State Rifle Association. Registered and active voter.