How can I access a mining PC behind a router from outside of my home network?

[c789]

If I have a PC mining rig running Xubuntu 12.04.2 behind a router in my home, is there a way to access this computer WITHOUT having to do port-forwarding on the router or reconfiguring the router in any way?

I'm somewhat decent with Linux and know how to SSH (usually over Putty) and X11VNC, but I've never tried this from outside of my home network.