Drag and Drop is possible on Android/Touchscreen devices. But it has to be changed/adjusted or replaced which another method.
This also depends on the size of the device and the complexity of the drag & drop sources and targets. And some ideas may seem useful but may not be very intuitive.
Drag & Drop may work well on a 13" tablet but it may be nearly impossible to perform it on a 5" phone screen.
I would think of a solution like that:
* #1 You select one item by touching/clicking it.
* Then the item will be highlighted.
* The possible "drag" targets are clearly marked. (Maybe with animated pointers or similar).
* #2 You touch/click one of the targets