V,
Of course you can. Just be careful of the amount of lube you put on the case. Too little & sticking might happen - too much & you will definitely will get dents on the pushed-back shoulder. Just use a full length size die or a file trim die.
I have a note around 1972 from CC "Tom" Seitz (how many of you old timers recognize that name?) saying he preferred LC gov't brass for making 222. Now I'd rather use Lapua, if I had a deuce.
Regards, Ron