Is it possible to make a multiplayer online game in Verge like as a program you would download or not really?
In theory, yes. Verge has the ability to open sockets to servers, and to do HTTP callouts as well.
That said, there isn't really an easy way to do this. You would still need to write the server, whether that's part of the game (i.e. one player hosts the other(s)) or a separate piece of software running somewhere separate from any instances of the game.
What sort of multiplayer game are you thinking of?