Legal Question in Personal Injury in California

One can try, although the insurance company will claim privacy. What you can do is get a court order to publish. Once published, that would be considered service, and you could take the defendant's default. Once you have the default judgment, you can then try to collect from the insurance carrier. You might want to send the insurance carrier a courtesy copy of the claim to put it on notice that you're seeking money damages from its insured.