I dont think Spidey is strong Enough to seriously hurt Red. Hed need a weapon that would be able to penetrate him and his armor, hitting a major organ or something.
I dont think the armor that Stark was mentally controlling was some regular piece of junk. The armor should still be highly durable even without shielding. If caught in the tendrils, its not looking good for Spidey at all. Thats more likely to happen than him being seriously hurt by SM. Imo. 🙂