No. The amount of compensation that you are awarded for filing a personal injury lawsuit against another person is the amount that you must be content with. You will not be allowed to sue the same person for the same issue to get more compensation, even if you feel that you have not been given enough. In order to make sure that you fight for the right amount of compensation initially – the amount that you feel is required to cover all of your expenses – be sure to discuss the details of your financial situation with your attorney.