Will it hurt your car if there no power steering?

No, it will just be a little harder to turn. Once you hit 5 mph, you wont notice it that much

Not true...

If your car comes factory with Power Steering and it stops working, chances are your out of power steering fluid. In this case you can burn up your power steering pump causing particles of the burnt pump to enter your steering box and that would cause damage. It could just wear it out (i.e. causeing loose steering) or it could bind up (i.e. wont turn completely in one direction intermittenly. If you notice your steering getting harder to turn, I would recomend you checking your fluid and toping it off if necesary.