It's unlikely.  You aren't entitled to anything more than the full market value of the car as it was before the accident, and I very much doubt that you'd get $5,000 for a car that old.  As far as the insurance company is concerned, your car is totalled, and they are entitled to buy your car, for whatever it's worth on the market, and sell it for scrap.  That's all the insurance company has to do, because that's all you could get from the other driver if you sued him and won.

Probably the best you can do is to try and talk the insurance company into giving you the fair market value, less a small deduction for the scrap value, and letting you keep the car.