My rates went up because somene one rear-ended me. Can I sue them for the increase in premiums.

I slowed down to a stop when traffic in front of me stopped. The guy behind me crashed into my rear causing $5000+ damage. His insurer wanted to total my car and pay me out. They also wanted the car which they would sell. In effect, that would have given them a discount on the damage. I didn't think it fair to me so I went through my own coverage. My insurer paid me for the damages and subrogated back to the other company. On settlement, they then paid me my deductible. I took the money and, rather than repair the car, i used it as a trade-in on a newer car along with the repair money. My insurance company raised my rates. Can i sue the other driver for the i crese in my rates?