Don't see why not, depends on the rifle.
Just did a search - Rimmlss Jeffery - 250gr. at 2,500fps, 300gr. at 2,200fps. Rimmed Jeffery, 250 at 2,400fps and 300 at 2,150fps. test bl. 28"

I see no reason the 350 wouldn't make 2,100fps or maybe more with today's powders.

Case capacity is given as 84gr., which is very close to a .338 Win Mag, seems to me.