Given the many, many posts in the early C# bug threads as a resutl of this, and the fact that Steve chose to restrict design to single windows as the method of squishing them, I would say it's not possible.
Many of those bug reports will dissappear with the change, that single click opens the same window, if it is already open, and shift+click opens a new instance of the same window.
Considering that it is possible to choose between using a single window and opening multiple windows for many other windows by using click or shift+click, and that it has so far been possible to open multiple windows of 'Create Research Project', I thought was at least worth asking.
If it is not possible, then so be it, but if it is a design decision to choose which windows can have multiple instances and which can't, then I would really wish that 'Create Research Project' was one of them.