Do I need to give my insurance information?

I got into a car accident in the beginning of September. It was a minor fender bender so I asked if we could avoid insurance and instead me just pay for the damages. The quote that the mechanic gave us was $900. Last week he finally took it in to get fixed and after they started the said they found 10,000 of damage... show more I got into a car accident in the beginning of September. It was a minor fender bender so I asked if we could avoid insurance and instead me just pay for the damages. The quote that the mechanic gave us was $900. Last week he finally took it in to get fixed and after they started the said they found 10,000 of damage after taking the bumper off. I find this hard to believe as we were not going that fast. He is now requesting my insurance info and I’m just wondering if I am truly required to do so i this happened so long ago and a police report was never filed
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