Can a problem with the obturator nerve cause right groin pain?

Yes: Obturator is a hip stabilizing muscle. It helps rotate the leg outward. The sciatic nerve can be involved with obturator problems. Stretching may help, but seek professional help before you get permanant nerve damage.

Possibly, see Dr.: It could be if a branch was pulled along with a muscle there/ in the thigh and pain is referred. It might be the muscle, or a ligament in your hip that was pulled abnormally. All these have nerves. It could remotely be an adhesion if you had an operation there. You should go see your doctor to find out the cause before it gets worse.