Ya, under that weight sure but then you are looking at a sectional density 0.171 for a 60gr bullet which is really quite low for penetration. Shot placement would be key, a low SD like that would tend to blow up hitting bone. The 70gr GMX is at 0.199, 0.2 seems to be the threshold of acceptable for deer size game, based on powers that be on the internet.
If you can get that pill into the vitals though that deer is dead.