Is it ok for cartilage to "pop" in the nose?

This is nothing to be worried about unless you have suffered some trauma and there has been a change in shape and appearance of your nose. The cartilages of the nose tip are not rigidly fixed to each other and therefore any clicking or popping sensation is a normal consequence of them moving against each other.

Popping of the cartilages in the nose specially in the non-operated nose does not significantly point a problem unless there is pain. This sound is caused bu friction between the cartilages such as the lower lateral cartilage and the upper lateral cartilages. The cartilages in the nose are not attached to each other in a rigid manner making  some movement possible. Don't consider it a disorder.
Hope this helps,
Ali Rıza Öreroğlu, MD FEBOPRASEuropean and Turkish Board Certified Aesthetic, Plastic and Reconstructive SurgeonIstanbul, Turkey

This is not too uncommon as the cartilage is not rigidly fixed and can move around from time to time. As long as it's not causing any pain or problems it's nothing to worry about.