A12, Not without reducing the thread diameter. Both the ball and the shifter are 3/8" threads. But the ball is a fine (24tpi) and the shifter is coarse (16 or 18 tpi I think).
Ranger, you are correct on what the jamb nut is used for, and yes, it's missing. However, if the jamb nut threaded into the 3/8" x 24 ball, there would be no room for a 3/8" (coarse) thread to fit. The ball and the shifter have to be the same thread pitch. The shifter I have is NOT the original shifter in the car, so I assume this is the discrepancy.