Suspension control arm does this need immediate replacement?

From what I can see from the images, they do need to be replaced but it can wait a while, rubber bushings crack like this, but I have seen much worse. Are you experiencing any driving problem or hear abnormal noises, what was the reason for the shop visit?

As Ken said, they are due for replacement but not immediate. You would be hearing bangs as you hit bumps and squeaks and groans on turns. The torn boots on the outer ball joints are the worst items, the actual bushings look cracked but not separated. While those can be replaced as parts the ball joints cannot, so you replace the entire arm. While I can't tell you they will last X number of miles, if they are not loose and are not squeaking, you might be able to add some grease in there and nurse it along for a while. You can get the parts online through many places like Rock Auto, however some shops won't install customer supplied parts. You could call around about that as well as pricing.

The attached images should show you the bushings, the cracks in the bushings are in the last image you posted but the cracked ball joint boots are in both of the first images.

They are high durometer rubber. They allow the arms to pivot up and down and isolate the vehicle from the suspension noise and vibration. As the rubber ages it hardens and cracks. I've seen them fully broken through and loose in the arm. Those were noisy and the vehicle is hard to drive because it allows the suspension to move in directions other than up and down.