Yeah, I'm pretty sure you could do that.

...or, I Get Referrals, from Irvine, California, "deer hunting with a 338 lapua."

Oh, I'm sure a .338 Lapua would make a FINE deer rifle, with that 200-grain bullet chugging along at 3340 fps or so and 4950 lb-ft. of energy at the muzzle. Compare that to, say, about 2620 lb-ft. for a 168-grain .308 round at about 2650 fps. If anything a .338 might be overkill, unless you're making routine shots from 1,000 yards-plus. But hey, as the old saying goes, smoke 'em if you got 'em. I'd hunt with it if I could afford the feeding costs. ;-)