Many drivers have considered this question. However, with current laws and regulations, the answer is clearly NO. Almost every state requires you to have auto liability insurance. This means that even in a state that does not require liability insurance, you need to have sufficient assets to pay claims if you cause an accident. However, insurance exists to protect your assets. Trying to see how little you can get by with can be very risky and dangerous.
If you have financed your car, your lender in many cases will require comprehensive and collision insurance as a part of the loan agreement.
In California, driving without insurance is a serious offense. Failing to show proof of insurance when requested may result in fines or even a suspended license.
If you need to purchase auto insurance on your vehicle, follow this link for a quick quote.