It is possible to insure other people to drive your car. There are instances where the insurance company will cover accidents caused by a driver other than the policy holder. Some policies even provide coverage for anyone living in the same household as the policy holder. If you are going to have someone borrow your car on a regular basis, then it is advisable to add them as a covered driver under your policy. If someone does not have their own car and often borrows other people’s vehicles, they may look into getting a non-owner insurance policy.