Inside a lunar lander with atmosphere, yes. But slower.
Outside, assuming we have a fluid that stayed liquid in that environment, my guess is that it would work if you got it started, but the usual way to start it would not work.
Once it is going, I think it is powered by gravity and surface tension (which may again be affected by the fluid being used).
You wouldn't be able to start it by sucking air out of the tube. Maybe if you started with the tube fully submerged, and then pulled one end over the side.
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