I'm not sure because I have yet to buy a microSD card for mine, but can't it be dragged and dropped using the "Media Manager" desktop software on the CD that ships with it?
Yes and Yes. You can also move from within the BB itself, highlight the thumbnail photo, click menu to MOVE, navigate to the correct folder (in this case Media Card). Once you move one picture, it will default back to your device memory folder and if you click to move another picture, the move to is defaulted, so it is much easier.
you can do it on the BB itself by clicking the menu when you have the picture you want to move highlighted. You will see move and then move it to the folder you want on your card.
Even easier is using the Windows Explorer desktop program