No. AGI is talking about the "general" human intelligence rather than specialism. An AGI would be as good as a human at both composing poetry and playing chess, both identifying bird calls and proving mathematical theorems. We don't know what a categorically superior intelligence would be so we can't rate some machine on that basis.
The Lem story "Golem XIV" concerns a machine which claims it possesses categorically superior intelligence, and further that another machine humans have built (which runs but seems unwilling to communicate with them at all) is even more intelligent still.
Golem tries to explain using analogies, but it's apparent that it finds communicating with humans frustrating, the way it might be frustrating to try to explain things to a golden retriever. Lem wrote elsewhere that the single commonality between Golem's intelligence and our own is curiosity, unlike Annie, Golem is curious about the humans which is why it's bothering to communicate with them.
Humans (of course) plot to destroy both machines. Annie eliminates the conspirators, betraying a hitherto un-imagined capability to act at great distance, and the story remarks that it seems she does so the way a human would swat a buzzing insect. She doesn't fear the humans, but they're annoying so she destroyed them without a thought.
