Advice Needed: Parking Lot Collision

Hello Reddit,

I'm wondering if some advice can be provided regarding a small a accident in a parking lot yesterday.

While parked, I decided to reverse and fix my parking. I checked my rear mirror as well as my left side mirror before reversing. While reversing my back up camera turns on revealing a car directly behind me. Instead of hitting the breaks, I hit the gas and hit the moving vehicles behind me.

I'm trying not to go through insurance with this incident and have been gathering some quotes from auto body shops. I am getting a $2400 price quoting from a shop the other party went to.

Is there anything I can do at this point?

Thank you,

Alex