No. In the US, the lessor registers the car where they live.How does this work if you lease a car? My car has Scottish plates, because that's just where the leasing company is based so it's where the car is registered. If you go to Ireland, lots of cars outside Dublin have Dublin plates, often for the same reason. Is California just full of car lease companies?
This is done for tax and insurance purposes - auto insurance laws and auto taxes vary by state, and setting up a scheme where California tax could be avoided by leasing a vehicle from a company in Oklahoma would not fly.