Based on my very limited knowledge... if you would have dexterous hands with sensitivity on them you could theoretically train a VLA model to do that task, planned by a high-level model like Argon 4, that orchestrates everything. That would as well require in first place a VLA that has similar tasks in its training set and fine-tune it by means of recording hundreds of examples performing teleoperation of the robot hand and arms movements.
Not easy, but definitely getting more and more doable these days.
PS: Didn't spend 20k on hands for my 6k robot, but can confirm it has the cable harness to support them :D