Answer
$\therefore$ No, because there is no air on the moon and, therefore, no
air pressure to push the liquid up the straw
Work Step by Step
On the earth outside air molecules apply pressure on the liquid surface which results in the rise of drink level inside the straw, which helps us to sip a drink on earth.
But on the Moon, their are no air molecules to apply pressure on the liquid surface due to which there is no rise in liquid level inside the straw.
