I assume you are stating "selling" you fake insurance. If so, the answer is yes you can and should sue them for selling you fake insurance. The State Department of Insurance will also probably pursue criminal charges against them as well.
If they gave it to you, what would you sue them for? If they sold it to you, you can ask for your money back.
if they are dumb enough to tell you their real name sue sue sue sue sue sue
If there is lawsuit, or sue.
Unfortunately no you can't sue anyone for doing that!
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Well Someone will sue you and the insurance will do something about it!
You might want to be careful here. Some states have steep fines and worse for someone that drives without insurance.
Why would you sue your own insurance?
yes. you can sue an at fault driver if his insurance company refuses to pay your claim. it would not be proper to sue the insurance company.
The other person can sue you because you are at fault for the accident.
People sue today for anything and everything. The question is could he win a lawsuit from someone he hit in the rear. In 2005 I would say anything is possible.
If you reside in the US anyone can sue anyone for anything. In this case they could both sue each other. Don't know who will win but they sue.