Legal Question in Criminal Law in Washington

There is no absolute answer to the your question the way it is framed, and any answer would depend on several factors not addressed in your question, and some factors that you may not even know to think about. That said, in general the answer to this is, if the other state wants you they will issue a warrant and indicate that they will transport. Generally, Washington is not going to go looking for you simply on the basis of the existence of a warrant in another state. If the other state actively requests assistance in enforcement of the warrant WA may come looking for you.