I have an iliopsoas snapping that is painful since the past 1.5 yrs. could it be a martial art (karate) injury due to repetitive falls?

Possibly: There are many possibilities why internal( iliopsoas) snapping hip begins.Some are anatomic or related to trauma or sports ( most common). Sometimes orthopedic surgeons who treat both types of 'snapping hip' syndrome commonly just don't know why it begins...Try to see a specialist who is comfortable treating your condition . Best of luck!