Accident without insurance (not my fault)

What is the name of your state? California

I was in an automobile accident without insurance. It was not my fault. Will i be able to recover damages to my car.

Yes. As long as the other party has enough insurance to pay for the damages, or, if you have to sue them, money to pay for the damages.

You didn't specify which of you didn't have insurance, and I can't tell by your phrasing.