According to Wikipedia, they did. So, not really.
Someone like Fellatio Nelson can answer with better authority, but I´d say
no, because you can´t maintain strong garisons or project power from there. After all, it´s cold, icy, to quote wikipedia:
South Georgia and the South Sandwich Islands are a collection of bleak and remote islands in the South Atlantic Ocean. Most of the islands, rising steeply from the sea, are rugged and mountainous. At higher elevations the islands are permanently covered with ice and snow.