I have an up coming case for child support ,Ii wanted to know if I can file for visitation so can see my while I'm there

You can file a petition to seek visitation just about anytime, but you will have to give proper notice to both the other parent and Judge by filing it enough in advance so they can be prepared to discuss the issue when you go to court. If you file it the same day as your court appearance, it is unlikely that the Judge would be able to do much on that issue with such short notice. The issue would be heard eventually, but just not likely on the same day that you file the petition.