Is it possible that these modules conflict with each other?
I'd like to clarify.
As far as I can tell, there's no way to use Draggable Views to reorder a View that uses the Views Accordion display format. However, as Jens mentioned, you can follow the instructions on the Draggable Views documentation page to clone the Views display and change its display format to Table or HTML List. This cloned display can then be used to order the items, and the order will be respected on the Views Accordion display (as long as it's part of the same View or uses Field API weights).