Unfortunately, while you can indeed build hoverboards with superconductors and they do work, you still need a magnetic surface for it to ride over. I don't believe generalized hoverboards that will work on all surfaces like BttF are possible.
I mean, theoretically, if you loosen the definition of "hoverboard" enough, it might be possible to create something that hovers with you on it, but I don't think you'd accept it as a substitute for the movie hoverboard.