Does homeowners insurance cover pets for injury?

Property damage from petsIf the damage is to your own property, no, this would be normal expected wear and tear incidental to pet ownership.

If the damage is to someone else's property, maybe, depending on whether you have liability coverage and that you do not have an animal exclusion on your policy.

Did your dog get loose from the house or yard? Was the property that was damaged at your own house? There is not enough information here to give a good answer.