Generally, the answer is yes. Most auto insurance compoanies will allow your parents to be listed on the auto insurance policy along with your name. If you are looking to save money, this is probably the best option to go, especially if you are a teenager who just starting driving. The only other option is to get your own insurance policy, which would mean you will be paying a lot more than you need. Yes, your parents' auto insurance policy might go up, but it is better than getting your own insurance.