Is it possible to drag files with right click?

If you Middle-click drag and drop (or press Alt after you've started moving the icon so that it doesn't trigger the window move) and then let go of the file a context menu shows up giving you the choice of Copy, Move, link, etc.

Example dragging a file onto my desktop:

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The cursor will have a little question mark by it, then when you let go this pops up:

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Someone filed a bug report with Nautilus to support right click drag and drop but the developer deemed that unnecessary.