You can certainly sue the drunk driver personally as well as the owner of the vehicle. Since he was intoxicated, you would also have punitive damages available to you. Also, depending on the facts, there may be other parties exposed to potential liability. I practice personal injury law in California, so feel free to contact me.

Disclaimer: The response above does not form an attorney-client relationship, nor is it intended to be anything other than the educated opinion of the author. It should not be relied upon as legal advice.