This feature is not available. You can just short them by clicking on Name or Path.
BTW what you want to do by rearranging them?
I want to choose a more prioritized item from this list. This item should be first, but the sometimes prioritized item can be the last.
So one better solution will be to create a ContentReference type property (as we did in our one of the project) to select category (as allowed type) and use it. What you say?
I take it you want one additional category to prioritize other than the primary category?
If not you could just assign your preferred category as the primary category for the entry - moving the entry to the preferred category will change the primary category for you in that case.
Does anyone know how I can rearrange additional categories at the product level?