This can't happen. Not in an easy and playable way, thou.
1. Only one person can be using the computer with Remote Desktop.
2. I've used WinVNC and other screen sharing programs (Team Viewer is one of the best and easiest to use) but you both need heluva good connection to be able to (1) watch the 40fps game as fast as Igor moves on the screen and (2) send/receive the commands from the remote keyboard. At best the second player can stay in the corner, escaping all fruits while the first player kills all the fruits.
3. A dedicating server won't suit this game. It will be like two players playing remotely, not just one

. Imagine 200 ping at hammerfest

. You won't be able to escape anything ^.^