You could move clips before because you were using the full PowerDirector application, presumably on a windows machine. And if you were still doing that and using the latest PowerDirector you would be able to to do that.
I don't think you can expect an app designed for phones to provide the full functionality of the desktop version. I would suggest that if you want to use your Chromebook at you look into online services.
Full disclosure I too use a Chromebook as well as Windows.