you could do it and the middle piece would recover but keep in mind that center cut is going to have 2x the damage to heal, and 2x as much wound open to possible secondary infection, so it may not make it. it definatly wont recover as fast.
but I would say yes you can do it, if you recall I carved my giant leather up like a steak just carving it however I saw fit. hacking this way and that, it was a grand old butchering and every piece recovered. just make sure your water quality is top notch and you should be fine.