Yes, if the belt slips.
DUE TO THE REASON OF ROUGH DRIVING and lack of oil in pump....
Low power steering fluid or defective power steering pump.
Power steering fluid helps your steering wheel turn easily. If you have dirty power steering fluid, it may be hard to turn your steering wheel while driving.
It will eventually seize the pump up and may cause damage.
* No power steering fluid in reservoir * The power steering pump is not operating
probably going to lose your steering
you may need more power steering fluid.
Power steering line leak, need to fix as can cause fire.
the most likely cause of that would be the power steering pump failing.
(Charging System , AC , Power Steering)Fails Continued driving will cause Engine to Overheat . Risk of Serious Damage !
Check your power steering pump A: check the front Left wheel bearing
cause your power steering pump has died... try hit it with a hammer :)