Yes, there have been Zimbabwe gaming servers around for quite a few years now, no official ones though. Ive used WOW, HON, CSS, BNet, trackmania and a couple of others. You will need to be more specific on the ones you looking for. Biggest problem with them is the number of players online at any one time is small, but it will grow with time.
Another thing to consider is that many games, especially on consoles peer the data between players when the game starts, so even though you going through an international server once the game gets going you are using only local traffic if you are playing with other zimbos. PC games for piracy reasons this is becoming less common.