Finding Open Port TCP Communication

Question

I'm writing a Java application like AIM where I want a lookup server to help two clients connect to each other with the ServerSocket class. Unfortunately a serversocket needs an open port or it will be blocked by your firewall. Without having the clients manually change their firewall settings is there a way I can either find an open port, open a port (it's okay if it asks for permission) I just don't want every client to manually have to change firewall settings. Thanks!