Does Homeowners Insurance Cover Accidents On Your Property? 
Depending on what type of accident yes it would be covered , If you had a slip and fall situation that would fall under the home owners policy but if you are talking about your car backed into the garage or another car then your auto policy would cover that liability.Also the accident if it was yourself that fell that would fall under a different portion of your home owners policy.I recommend you call your agent or your carrier with the details 