Answer
Yes, we could see stars during the "day" on the moon.
Work Step by Step
On Earth in the daytime, we cannot see stars because their light is washed out by the bright sky, i.e., sunlight that is scattered by particles and gas molecules in the atmosphere.
From the lunar surface, the sun and other stars are clearly visible. There is no scattered sunlight to wash out the light from stars; they are visible against a black sky.
