Absolutely! You can't possibly say you own something if you have to pay rent on it to keep it. and not allowing someone to even own a home is basically tantamount to taxing their right to live.
And, you can always have a tiered system, for example, 0% on the first 1 million, then 0.5% on the next 500k, etc. that way at least people can downsize to something that they can own.