You answered your own question, but to add more context the answer isn't "For many types of property" but for most people the answer is an emphatic yes. For the vast majority of people the only piece of property they own in this sense is their home, and if they cannot pay the property taxes on that, the state sells it on tax sale. So yes, absolutely, we already do this.
The fact that ownership of businesses is exempt from this is part of the inequitable structure of our laws that benefits the wealthy at the expense of everyone else. Because the primary property of the wealthy is currently exempt from property taxes (we only tax the gains, not the assets themselves), but the primary property of the middle class is taxed.