No. Third-Party Car Insurance is obligatory for all motor vehicles. Third party risk insurance is compulsory under the statute of the Indian Motor Vehicles Act, 1988. You may be a good driver, but it does not negate the fact, that the vehicle you drive can become the victim of a disaster that was caused by another vehicle. In such a situation, you will be grateful that the driver involved has a third-party car insurance cover that you can raise a claim on.
Bodily injury coverage is written with two limits: the first applies to each person; the second is related to each accident. As an example, minimum recommended coverage levels are usually $100,000/$300,000, which translates to policy limits of $100,000 per person in an accident and $300,000 total per incident. Required coverage levels vary by state, but can be as low as $10,000/$20,000, which is hardly sufficient for a serious accident.
If you have paid off your car, comprehensive coverage is optional. It may be a good idea to find out the Kelley Blue Book value of your vehicle. Would you be able to pay that amount to repair or replace your vehicle if it were stolen or damaged in an accident? If you can't afford to pay much out of pocket, then buying optional coverages, like comprehensive coverage and collision coverage, may be a smart investment.