This article sheds light on the possibility of duplicating one course from one login to a different login.
Not at this moment, but this is something that we are brainstorming to figure out how to accomplish it properly in the near future.
There's a lot of permission issues and the courses are in some ways tied to the student body that's present. One way to get around this situation, is to transfer your course by exporting and importing your questions into the other login. Essentially this will accomplish nearly the same action. Though, the difference is the new course will need to have the professor permissions and registered student body updated to match the original course.