LimeWire will but "only" if you have UPnP enabled. If UPnP's not enabled then you will be under NAT firewall conditions. Some devices are upnp enabled by default, some not. See Section 2 about UPnP here
Connection problems? Check here first! (click on link)
BTW if you find UPnP unreliable, then port forwarding is almost always more reliable. (see section 3 of link above)