But the fact that Fermi was doing such a calculation in the first place proves that we knew in principle how a fission weapon could work, even if we didn't know "how far off [they] were". As soon as we figured out the moon was just a rock 240,000 miles away, we knew in principle we could go there, even if we didn't know how far off that would be.
By contrast, we don't know what consciousness or intelligence even is. A child could define what walking on the moon is, and Fermi was able to define a self-sustaining nuclear reaction as soon as he learned what nuclear reactions were. What even is the definition of consciousness?