It can, there is pre-load adjustment on the steering box that can remove some slack in the steering box from wear.
With the motor off, standing outside the car, reach in the driver's window and grab the steering wheel, watch the front wheels as you move the steering wheel. If the steering wheel moves back and forth without the front tires moving at all, you have slack in the steering. Look at the wheel rim, not the tires, tire bend and flex, you should see the wheel rim barely moving, but you can tell its moving when you move the steering back and forth an inch.
If there is slack, its either the tie rod joints or the steering box. I've seen warning to never touch the pre-load adjustment to adjust it only an 1/8th of turn at a time, etc. You over tighten the steering box pre-load and it will chew itself up in short order.
Bad shocks can do this as well, if the car rolls without damping it can feed into the steering.
Bad Sway bars, their bushings and end links can really contribute to this, less control, even slack, in the resistance to roll, and the vehicle floats like a boat and feeds back into the steering.