My understanding is that one of the Starship prototypes were damaged by flying debris during a static fire. I think the available evidence points towards it being possible.
> About 2 secs after starting engines, martyte covering concrete below shattered, sending blades of hardened rock into engine bay. One rock blade severed avionics cable, causing bad shutdown of Raptor.
https://www.youtube.com/watch?v=jM61ZkUoO4U
> About 2 secs after starting engines, martyte covering concrete below shattered, sending blades of hardened rock into engine bay. One rock blade severed avionics cable, causing bad shutdown of Raptor.
https://twitter.com/elonmusk/status/1328742122107904000