are tow truck companies liable for damages to a car thay have towed?

I think what you’re asking is, can I force them to pay for the damages? I doubt any lawyer would take your case, since they work on a contigency basis, and the cost of tracking this down would be more than they can make. At best, you would get what, $1000? Your lawyer would get $333.

Another option would be small claims court. Or Judge Judy. Or make an insurance claim (if you had full coverage) and let the insurance company track them down.

The only way to really get any money out of it is to get a judge to agree with you and order them to pay.