I did undergrad and graduate work in Bioengineering, but not anywhere near robotics. That said, I agree with trapperjohn and save a life. Personally, I think you’d have to stretch pretty far, or find a very particular niche, for training in medical school or residency to provide much direct application in the early development side of things.
There are post-doc fellowships at a variety of industrial companies (in other tangentially medical fields), so I’d expect that would be the most you could expect to find. But it will take effort to find those companies that are doing work you’re interested in, and then seeing which of those companies is interested in a medically trained individual. Alternatively, there may be a select few medical institutions that would have work in that area.
In school/residency, developing a programming skill set would likely serve you better than any typical engineering coursework after residency. Your skills would be better applied near the clinical application (ergonomics/user design, medical regulations, etc), and not in basic development (circuit design, material strength, drafting). That said, because robotics is so heavily dependent on programming, having awareness/understanding of how programmers approach problems and how languages work would help you bridge that communication gap (and not dismiss the challenges).
All that said, completing a residency would still be wise, and I personally wouldn’t forgo training/board certification... I didn’t see you mention residency...