Yeah, they'd have to be on different networks, it wouldn't work if they were both on the same LAN. You'd need access to your computer, the easiest way would be to use NVDA remote, I'd start the game, start the trade from the machine you're physiclly on, then do the same for the NVDA remote home computer and go at it that way, though keep in mind they could generate a string hash of the save file on both ends and compare the two, and deny the trade based on if they match, i.e. you're using the exact same save file, though I highly doubt this is the case.
Facts with Tom MacDonald, Adam Calhoun, and Dax
End racism
End division
Become united