bad tie rod cause pulling when on the brakes? or shake not braking

[benoit454]

84 c10 put calipers on it a few years ago, I think about 4-5, new pads and rotors, new bearings on the front. New wheels, new tires, and balanced.

Found out today the outer ps tie rod end has some slop in it.

Would that cause the truck to shake while driving not brakeing, like when a wheel is bent or tires not balanced or something?

Mainly would it cause the truck to pull hard to one side when on the brakes, I forget which way it pulls, but sometimes it kinda goes back and forth when on the brakes kinda wiggly from side to side.