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.
Comprehensive insurance is a coverage that helps pay to replace or repair your vehicle if it's stolen or damaged in an incident that's not a collision. Comprehensive typically covers damage from fire, vandalism or falling objects (like a tree or hail). If you're financing or leasing your car, your lender likely requires comprehensive coverage. If you own your vehicle outright, it's an optional coverage on your car insurance policy.