Is a single player lobby to a connected multiplayer Reserved Server possible?

I'm creating a round based game that requires a certain amount of players. When they die they get removed. I'm trying to keep others from joining as players start to leave. Only thing I've found close to this is Reserved Servers but before going to in depth I want to know if this is the direction I should be heading in.

Ok so I know with reserved servers you can teleport players within a given sever (multiplayer lobby) to a reserved one. But, is it possible create reserved servers for a single player lobby that connects to all the other players.

Again the starting place in the universe is single player.

If you don't want to go the extra mile, a simple yes or no for its possibility will greatly help