Funny story, I was riding to my son's elementary school to pick him up. Only a mile away, riding my coaster brake cruiser. Going down the hill to the school, a car pulled out in front of me, and I locked up the back (only!) brake, skidded for about 25ft, then heard "POP"!! I took ALL the rubber off, went right down to the tube. I was surprised - these were 2.125" balloon tires, essentially brand new.
I remember as a kid we'd have contests to see who could make the longest skid. Never blew a tire! I guess weighing 4x as much as I did then explains the difference
.
So, yes, ONE skid can trash your tire.