Denied without prejudice means that your requested relief was denied at this time; however, you are not barred from seeking relief in the future. It is difficult to provide you a precise response, as you have not provided what type of relief was being sought. In family matters, the Court may modify support or custody if the party can show that there has been a substantial change in circumstances. These types of matter are very fact sensitive, so it would be necessary to discuss you case with you at length. You should consult an experienced family law attorney to ensure that your interests are protected.