No, not like this, although the title is certainly Potterish:
Instead, I’m referring to a rather long bit of alternate-canon fan-fiction in which young Harry Potter was raised, not by the Dursleys, but by a science professor at Oxford. As a result, he grew up reading science fiction and fantasy, and learned to apply the scientific method to the world around him. The quite long story has finally been completed:
Harry Potter and the Methods of Rationality
The ending is less satisfying than the beginning, or even the middle, but it holds together surprisingly well. And the author was very careful to not only use real science, but to cross-reference each chapter so you can follow up on any concept that strikes your fancy.