There is an entire sector of Philosophy of Mind that is a convincing argument against AGI. Neuroscience is also pretty skeptical of it.
Part of it comes down to what you mean by AGI. Is it a computer that is convincing as AGI? Or is it AGI that is essentially like human consciousness in nature?
The former is probably possible, given enough time, computational resources, and ingenuity. The latter is generally regarded as pretty nonsensical. In general, I think you're implying the gap between the AI we have now, and animals, and humans, is way smaller than it really is. The gap between computer AI and even some intelligent animals is enormous, let alone humans. And many would not even say computers are intelligent in a human sense. Computers don't think, or imagine in any intelligible sense. They compute. That's it. So the question that really should be asked is whether computation alone can lead to something that is recognizably an AGI in the human sense? I would say no, because that requires abilities that computers simply do not and cannot have. But it might achieve something that is convincing as AGI, something like Wolfram or Siri but much more convincing.
Part of it comes down to the fact that the term AI for ML is generally just marketing speak. It's a computational model of a kind of intelligence that is computational in nature, with all the limits that entails. Part of it also comes down to people who love computers thinking computers will ultimately be able to do anything and everything. That feels cool, but it doesn't mean it's possible.
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There is also Erik J Larson's book "The Myth of Artificial Intelligence: Why Computers Can’t Think the Way We Do" from 2021 which is an interesting argument against AI -> AGI. He has a pretty good grasp on CS and Philosophy.