I don't think so, or at least it would take some creative mounting.
The tray looks like it fits to the pipes of the rear rack, and hangs below the top surface of the pipes in some places.
If you turn it around the taperd section is all wrong.
Something that sits on top of the rack might be easier to turn around.
Not sure what you are truing to do but something like this might be easier to turn around:
P500 - Mighty-Lite Rear Rack
But this has slots/holes so it may not be suitable, again not sure what you are trying to achieve.