Will a "picked off" nodular melanoma grow back to a visible state?

It would be very difficult to completely pick off a "nodular melanoma." That terminology is actually one used by pathologist for the growth pattern. Nodular melanomas grow deeply, and don't usually hang off the skin. If you are concerned, visit your dermatologist and have them do a biopsy under the area you picked off. If there was a  suspicious lesion there, evidence would still be around microscopically in the skin.

If it is a melanoma it will grow back.... However, honestly, if it is a melanoma it is not only in the tiny nodule itself and would be in surrounding tissue too. So, you can wait and see what happens and if something grows back and then go to your doctor immediately. Or you can see a doctor, explain what you did, and see if he/she can take a biopsy of that piece and a bit of the surrounding skin too. Never try to pick, pop, or remove things on your own. "This answer has been solicited without seeing this patient and
cannot be held as true medical advice, but only opinion. Seek in-person
treatment with a trained medical professional for appropriate care."