Carnegie Mellon University in Pittsburgh offers a one year Master of Science in Product Management. The website is high on marketing content and low on content of substance. From the website content the program seems to be targeted towards those with engineering degrees but it does not overtly call out engineering as a prerequisite.
From the website, "Great Product Managers are made, not born. Carnegie Mellon University’s top-ranked Tepper School of Business and School of Computer Science have partnered to create the Master of Science in Product Management. We’ll hone your talents with a specialized curriculum, internship and capstone project. All in one short year. With this first-of-its-kind degree, your career trajectory will take off."
From the website, "Great Product Managers are made, not born. Carnegie Mellon University’s top-ranked Tepper School of Business and School of Computer Science have partnered to create the Master of Science in Product Management. We’ll hone your talents with a specialized curriculum, internship and capstone project. All in one short year. With this first-of-its-kind degree, your career trajectory will take off."