Also, although this is not drag and drop the document list follows the tab bar and even if the tab bar is hidden you can still use the shortcuts from the tab bar to position files in the document list (down, up, start, end, …) (CTRL-SHIFT_PD, …)

There is also another, possible, solution.
And there’s a workaround

Alternate solution
Other features that are likely easier to make:
One can sort ascending/descending by name (click on column title)

• Please add sort by modified date to bring files together that were worked on together
  and

• Please add sort by folder by name as well

That might answer the need to change order manually

Workaround:
Select the files you want batched together (use Ctrl+click)
Right-click and close
Repeat Alt-f-1 to re-open the files until they’re all open - they will be at the bottom of the list

(Use Alt-f-r-1 if you use the Recent files as a sub-menu)