I'd hope so.
(http://www.falstad.com/gravity.html)
"What happens if you drop a pen on the moon?"
If a pen is dropped on a moon, will it:
A) Float away
B) Float where it is
C) Fall to the surface of the moon
This question was asked to students studying physics across a range of levels. I don't know if they just cherry picked the really bad answers. I have no idea how these US educational course translate to international courses.
> "The gravity of the moon can be said to be negligible, and also the moon's a vacuum, there is no external force on the pen. Therefore it will float where it is."
> "Gravity will not pull it down, because there is less of it. It shouldn't float away just because I've never seen it happen. There's a balance between gravity and the opposite force."