@Switch BlaydeComputers can beat any human at chess. They don't think about the game like humans do, but they've been programmed with such huge volumes of data that no human can keep up any more. Do the modern computer masters remember anything about their prior experiences with any given player? Probably not. In that respect, they probably don't "learn". But they did "learn" by ingesting all of that data in the first place.
Modern LLMs like ChatGPT don't, as I understand it, learn in real time. They learn by periodically undergoing training, which is typically separate from regular user interactions. But I expect they could, if there were a good use for it. And if they don't pass the Turing Test right now, you can bet they will soon.
Any form of what we'd call AI currently "learns". It's just a matter of when and what it learns, and whether there's a feedback mechanism.
We don't seem to be anywhere near general artificial intelligence, that can apply itself to any domain. I'm sure the new planes are awesome at flight physics, but I'd wager they can't tell you what to substitute for eggs in the cake you want to bake.