In short, no. Cars designed to be driven WITH Power Steering are unsafe to drive when the power steering system has failed. If you've lost steering due to a broken belt, I suppose it might be safer to drive it that way than to park on a busy highway shoulder.
It is possible to drive a Chevy Trailblazer with no power steering. However, it isn't recommended. The steering column could freeze and there could be no way to steer the car.
Well sounds like you lost your hydroboost. You might have a power steering leak. Check your power steering fluid first. Over on the lower drivers side front of the engine.
goggle
Do you lose power when you turn the radio on? Probably electrical
Have you checked to make sure the belt is still on the PS pump pulley?
ram
Losses are mainly due to electrical resistance.
that loud noise is your power steering pump very low on fluid add some
If by "die" you mean stops working, then yes, the power steering is disabled when the engine is not running. The power steering is actually a hydraulic pump that assists your effort in turning the steering wheel. The pump is powered by the engine, so when the engine is off, so is the power steering. Incidentally, if you should lose power steering while the car is moving (engine dies, belt failure, hydraulic line breached, etc) you haven't lost the ability to steer, you've only lost the power assist. Also, in most modern cars when you turn off the car, the steering wheel lock engages. This is an antitheft measure, such that the car is difficult to push away when it's turned off (to a loading ramp, for example) because it cannot be steered. It's not worth much, as obviously the most effective way of stealing a car is to hotwire the ignition and drive it away.
It sounds as though one of the steering cables has lost tension, jumped off the spool, or has broken.
drive an car just stop
Could be a slipping or broken belt.