Dragging movieclips from one mc to another mc

I’m attempting to make a pair of List boxes where you can drag items back and forth between them. The standard List component doesn’t support this functionality at all so I’m building my own. My question is this, can you drag a movieclip from inside one movieclip to another movieclip? I want the mc that’s being passed to actually be contained inside the second mc when the operation is done. Not just lying on top (or underneath) it on the stage.