No effing way. As long as you don't hit anything or "yank" the slack out of the cable.
Even then, attach a good black bungee cord to the tail ring and the winch cable to the bungee. The bungee will absorb any shock. This is what I did when I was in a hangar with a winch permanently mounted in it. I replaced he bungee's hooks with a carabiner. I looped both ends of the bungee through the carabiner and clipped it to the tail ring. Then I attached the winch cable to the bungee "loop" that was hanging from the tail ring.
A cheap carabiner, a bungee, something is going to break before the plane is damaged.