Not by drag and drop, but you can accomplish something similar using buttons. The setup is not complex but not trivial either. Once it’s implemented it’s transparent to the user though.
The only issue is that when moving an item down, the row will often remain in a wrong position until you deselect it.
It would work perfectly if we would have an action or option within the button to deselect the row!
Button option: deselect row when pushed - Suggestion Box - Coda Maker Community