Shared cockpit doubts

Hello! Me and my friend would like to do some shared cockpit flights on Vatsim, we already have done a few out of Vatsim to check that everything works good. He comes to my house with his laptop to this shared cockpit flights and I was wondering if there is any way to connect to Vatsim both being at my house with two different accounts (his and mine) but using the same WiFi. I know there can be problems with IP addresses ( I don’t know a lot about these things ). I just wanted to make sure before doing anything: Thanks in advance!