BE20 pilot reported the stabilizer trim became inoperative and yoke stuck during climb.

Narrative

Upon departure out of ZZZ; I was unable to trim the aircraft by either the electric or manual trim wheel. The yoke was extremely difficult to move forward; it felt 'stuck'; and the aircraft was in a climb. Maintaining level flight was not possible. Pitch trim Runaway was suspected so I pulled the pitch trim circuit breaker as well as the autopilot circuit breaker (the aircraft was being hand flown; the autopilot was not engaged). These actions had no effect on the elevator and the aircraft continued to climb with airspeed degrading; despite full pressure against the yoke. I continued to attempt to push the forward and also slammed my shoulder against it. When I did that; it felt like something broke loose or gave way and I was able to regain pitch control. The RNAV XXL and landing at ZZZ1 were executed without incident. I taxied the aircraft to the maintenance facility we use at ZZZ1 and their initial impression was perhaps a stuck clutch but they will need to do additional troubleshooting to determine what happened.