Can someone else insure my car?

Yes, in many cases. Some insurers allow the policy buyer to insure a vehicle that someone else will mainly drive, with that person listed as the licensed primary driver, though some companies are wary of such arrangements and some states require at least one licensed driver on the policy. If the owner is unlicensed, the insurer may list them as an excluded driver, which means claims that occur while the excluded person drives are not covered.