Can the shadow of an object be created on moon?
Yes. The phases of the moon are partially caused by Earth’s shadow on the moon. A better example is a lunar eclipse. Smaller objects cast shadows just the same as on Earth, but you have to be much closer in order to see the relatively tiny amount of shade. However, there are times when an object on the moon’s surface will not have a -visible- shadow. This is because the moon has no atmosphere and moon dust and rocks are rather reflective. This causes the light to be reflected much more evenly than here on earth, so under certain lighting conditions that would cast shoadows on Earth, the shadow is covered by light splash.