Not really. You need to use a domain (correct me, if I’m wrong, but I think IP adresses don’t work) to connect to the homeserver.
In theory you could setup a DNS server in your nezwork, which resolves this domain with the local adress and then it might work, but I’m not sure if the homeserver would like that.
Also I want to add, that I use TeamSpeak, which works perfectly globally and locally, but it’s for voice chat.
except, when you actually need the compression part