But would Cali extradite?
The states agreed to honor court decisions in other states in Article 4 of the Constitution: "Full Faith and Credit shall be given in each State to the public Acts, Records, and judicial Proceedings of every other State." If a court in Washington says you owe money, it's enforced the same as if it were a court in California.
The question is more like: "could a sentence in Washington, resulting in a fine or other monetary obligation, be enacted or enforced in California?"
I don't know American law, but I'd be surprised if there were no mechanisms for Washington to tell California (and viceversa) "this dude owes us money, use your powers to make him pay please".