Unfortunately, it doesn't appear that a fifth season of The Legend of Korra will be in the cards anytime soon. In 2015, during San Diego Comic-Con, Dark Horse panel attendees were given some intriguing news from The Legend of Korra creators Bryan Konietzko and Michael DiMartino. The pair announced that the series would continue in the form of a graphic novel. Unfortunately, they didn't indicate that a fifth season would be coming. Fans seemed happy with the news, though it wasn't a new season.

Bryan announced later on Tumblr that he had been "working on the story with Mike" and that the comics would span three volumes of Korra comics. Currently, there are two of the announced volumes available out in the wild: Turf Wars and Ruins of the Empire, with a third on the way. Both volumes further explore Korra's relationship with Asami for "Korrasami" fans, as that was one of the series' most influential storylines, especially since fans loved seeing the pair together. 

With that said, if you're interested in seeing the rest of the story between Korra and Asami develop just like you would have been able to via the series, you can always pick up the next two volumes of the comics right now and start reading. The third is still on the horizon, as the second volume only just released in February 2020. It will likely be some time before the next volume finally debuts. 

Does this completely erase the possibility of a fifth season someday? No one has outright said that it could never happen, not in a million years, but for right now your next best bet is undoubtedly to grab the comics and see how things continue at your leisure. Perhaps one day we'll get an animated continuation for Korrasami fans everywhere, but for now at least there's some semblance of a continuation, right?