You'll have to get the "CHECK ENGINE" light to stay off.
Cut and pasted from the California DMV Website:
"If you are moving to California from another state, you may register a new federally certified vehicle in California if it was first registered by you in your home state, or for military personnel, in your last state of military service. When applying for vehicle registration in California, you must provide evidence of your vehicle's previous registration and that you were a resident of the other state when you acquired the vehicle."
www.dmv.ca.gov