Humans have a drive, a raison d'etre, intelligence being only a mean to fulfill that drive.
Thing is that drive is uncertain/subjective.
Learning can't be an objective by itself, intelligence is just a tool, from that perspective you can say there are already AI, like targeted ads, it learns about you and acts accordingly.
So to have a "generalist" AI, like human's intelligence is general, you'd have to have an objective like staying alive and build up from that.