I'm not aware of any natural born human acquiring a headjack via other humans in order to jack into the Matrix or construct program.
It is unlikely that humans would acquire the ability to do so since The Second Renaissance (Part II) suggests that even the machines needed to study human bodies extensively in order to successfully add a headjack. Here is a transcript of the narration that occurs at about 5 1/2 minutes into the video1:
The machines, having long studied man's simple protein-based bodies, dispensed great misery upon the human race. Victorious, the machines now turned to the vanquished. Applying what they had learned about their enemy, the machines turned to an alternate and readily available power supply...
During this narration, the first humans are shown receiving their headjacks.
The machines would have no reason to share their knowledge with the Zion rebels, so the rebels would have to figure out how to do it themselves. And the rebels would have little incentive to research a way for natural born humans to have some fun when they are all fighting to avoid extinction. Indeed, for at least some time the rebels refused to expend any effort on growing a more palatable food at the expense of efforts to destroy the Matrix:
Source: The Miller's Tale (archived link here)
That said, it might have been easier for the humans to figure it out by simply reverse engineering the machines' headjacks. As @Valorum's answer points out, there is a possibility that the humans installed a headjack on a monkey. Still, it's one thing to install a headjack in a monkey and quite another to try such an experiment on a human -- it's not clear if the humans were willing to take the risk of applying that to one of the precious few remaining humans.
1Youtube video link