Can you sue your own insurance company if an accident was your fault but caused by the weather and you were injured?

Do not even try it unless.....Only if they are insuring you for something like personal injury protection anbd are not paying the claims. If the accident was your fault and your car is damaged they will not repair your vehicle.

You may sue anyone and anything....being successful is a different story. Do not waste your time or money. If you still want to try, get one of the lawyers who will do it on a contigency fee and you pay nothing unless they collect on your behalf. If they will not take the case, chances are you would not prevail.