Yes. It doesn't really make sense to be honest. An FSD would be a superb weapon of mass destruction.
Assuming the FSD is some form of 'Warp Drive' (creating a bubble of 'normal' space around the ship and contracting and expanding space fore and aft of the ship respectively), the gravitational sheer in front of the ship would cause massive destruction to anything directly ahead of the ship. You wouldn't have to even hit the object, you could destroy it at range.