Styling DragDrop or combining Drop Target + file Input?

I would like to have an Drag’n’drop box with personal HTML content which has the ability to also browse files when it is clicked.

AFAIK no plugin offers this : DragDrop has its own styling. Also the browse event is done on the “browse” word.

DropTarget : Allows any HTML content to behave like a Drag’n’drop box, yet there is no built in way to trigger a browse window to search a file locally.

So I have been wondering if I could achieve my goal with both DropTarget and FileInput ? Combining the two could produce what I want, yet can I nest both plugins ?
Alternatively is is there a simple way to trigger a “browse” window from the DropTarget plugin ?