More or less. Human brains are an emergent property of a large number of highly interconnected neurons, so I see no reason something similar couldn't emerge from a large number of highly interconnected brains.
But the thing to keep in mind is that this emergent thing is not necessarily conscious or intentional, but if it reaches the point where it self-replicates then it becomes effectively a life form that starts to undergo Darwinian evolution and thus becomes very difficult to get rid of. The point is that all this is (potentially) just a straightforward consequence of the laws of physics, not some sci-fi super-villain going "Bwahahaha! Silly humans!" in the back of data center somewhere.
