No. It's to outlaw the purchase of more than 2 pieces of real property. Renting is fine by me.
In reality, half of the population will not want to (or be able to) own two properties (and many will not even be able to own one), so you end up with a nominal amount of home ownership, a very tiny rental market, and a bunch of people who both can't afford homes and have nowhere to rent because of the aforementioned very tiny rental market.
I personally own many pieces of real property. This law would affect me too. I'm actually one of the wealthy who think what we are allowing to happen is wrong.