Can I fix my Park Tool CCP-22 - the round head came off? At some point I somehow managed to break my crank puller. The round head that pushes against the axle has come off.

Can I get a replacement handle / fix it myself or do I just need to buy a new tool?
I would contact Park Tool's customer service and inquire about warranty replacement.  Their hand tools have a lifetime warranty against manufacturer defects to the original purchaser.