Yes, and for anyone interested in exploration history it's the strongest reason to go. The Endurance story ends in South Georgia. Grytviken has the museum and Shackleton's grave, lying beside Frank Wild, and grave visits are done in shifts with a whiskey toast. Stromness, where the rescue finally reached, is also on most itineraries.
The short version of the story, since it makes the place land harder: the crew were stranded at Point Wild on Elephant Island. Shackleton took an open boat roughly 800 miles across the Southern Ocean over 16 days to reach South Georgia, then crossed its mountains on foot to a whaling station. Everyone survived.
The hiking is the other half. South Georgia is far more open than the Peninsula and it's real leg-stretching after sea days. The Fortuna to Stromness walk mirrors Shackleton's final leg and is the one people ask for by name. Hikes cross tundra and tussock, and the tussock is usually full of fur seals.
Which walks run on the day is decided by wildlife on the beaches rather than by the terrain, so nobody can promise you a specific hike.