Yes, We Buy Wrecked Cars
You've been hit, the car is wrecked, and now there's a vehicle in your driveway (or at the impound lot, or at the body shop) that needs to go. We buy it. Direct answer up top.
It doesn't matter whether insurance is involved, whether airbags deployed, whether the frame is bent, or whether the police report came in clean. The two questions that affect the deal are who has title and where the car physically is right now.