State tax filing

My question is this: can AZ now sue CA on behalf of this person? Why would states allow CA to take their resident's taxes just like this, or does this mean one can actually be double-taxed in the USA?? This is insane.  I received the same letter and now wondering how costly this will be to fight and perhaps ultimately pay to them. I do promise never, ever to set foot in CA again.  That state is...well, I cannot use the words I want to use.