Can you sue ones homeowners insurance if you fall and knock a tooth out?

A property owner is not liable for a loss simply because they own the property. You would have to prove that the property owner was somehow responsible for your fall and subsequent loss of a tooth.

Although in the United States you can sue almost anyone for just about anything, winning however is another matter.

Bear in mind that since the advent of tort reform, should you lose your suit, you can be held liable for all the cost the property owner and his insurance company incurred in defending the suit brought against them. In other Words. You sue and you lose, you pay both sides legal bills.