Can I sue an insurance agency for not covering the cost of damages on my vehicle?

Question Details: While my car was parked outside of my apartment, my neighbor saw someone attempt to back up and hit my car. My neighbor was able to obtain the license plate number and identify the vehicle. As soon as I found out about the incident, early the next morning, I called the police and filed a report. My witness was there and repeated what happened to the police officers. I was able to obtain the owner's insurance information. I filed a claim with his insurance company, and over a month later, they told me there were no damages on his car but he denies involvement therefore they will not be covering anything.

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