Yes, but that not the point of private property ownership. If you don't own your land (for example) than someone else does. If someone else owns the land then you have to live under their rules. However, if you own your own land then you make your own rules.
Private property ownership is essential to liberty.
It not just land. If you don't own your TV set then you can only use the TV with the permission of the owner. The same applies to cars and everything else.
This what Marxism is so evil, it takes away private property rights. It even takes your right to you family and your own life. Everything is owned by the collective and controlled by the state.
Unfortunately we've allowed local governments in almost every state to impose property tax on land. That has been there since the founding. Why it was continued from the British government is unknown to me. It means you don't fully own your land because if you fail to pay your property tax, the government will take your land away. That's just evil.
Taxation is theft. The government, federal, state, county, or city has absolutely not right to steal the product of your labor especially land ( which includes housing). They've already taxed your purchase of your land. That's still wrong but that's all they should ever tax you on. Instead they've created jobs in the local governments just to monitor property values so they can tax you on the value of you property. That's absurd.
Arizona tried to take a step in the right direction by eliminating property taxes for everyone 65 and older but that bill got struck down.
If they must tax you then set the tax to end once your mortgage is paid off or once you turn 62 (the earliest age you can collect social security) which ever comes first. That means if to bought a house the day before you turned 62 then you own 1 day's worth of property tax. If you bought a house on your 62nd birthday or any time after that, no property tax.
Sorry. I went off on a rant about property taxes but I hate the idea of being forced to pay a stupid tax every year for no reason at all other than I want to live in my own house.