Yeah, look at the USS Belknap. for example. It's not like Naval Air, though, where they can rivet the BuNo plate to an new airframe and pretend that it's the same aircraft.
When they started work on the Belknap, every so often, all the workers would come boiling out of the ship. When they did so, it was because a team had cut into a mass of formerly-molten metal that contained a body.