sevo
Fokutorendaburando
I wonder if in a similar manner that lens from the Nikon F3 could do.
No - the F3AF was a in-camera AF system - the AF sensors and computer were installed in its oversize finder, the motors were in the lens (only a 80mm and 200mm were ever made), but it required a special body that did have a set of extra contacts and wiring between the finder base and lens mount (and could communicate events like release press to the finder). IIRC the lenses do still fit the F4 (and perhaps even some of the later single digit Nikon pro bodies), but they were just dumb motorized lenses.
There were a few self contained Nikon AI mount AF lenses from third party vendors, which followed the Canon/Pentax example. Most notably a Vivitar, but by the late eighties even some mail order house brands had them (to be sold in kit with the remaining inventory of non-AF cameras). As all these lenses do not communicate with the camera body, you have to press some button on them to make them focus - so they are not much easier to handle with one hand than a manual focus lens.