Will a car stall out if radiator cap is faulty and not containing pressure?

put a new cap on and try it?

I plan on doing that, but just wondering if it's this is a common or even heard of problem.

no should not make car stall.

I had the same issue on my 63 impala, replaced the radiator cap ran like a champ, but be sure to get the right psi cap, the 1st one i got was only 13 psi did not wrk,, went with a 15-18 psi solved the issue