Fall? Impossible.
The Moon has its own gravitational field. At its surface it is a sixth of Earth's but it is still there.
Commander David Scott dropping a hammer and a feather on the Moon during the Apollo 15 mission.
Gravitational force falls off with distance so between the Moon and Earth, the point at which the Earth's gravitation becomes greater than the Moon's is around 15% of the way to Earth. That is around 58,000km (36,000 miles) above the Moon's surface.
Unless you can find a way to fall upwards to a height of 58,000km, even working against the Moon's weaker gravity, you are not going to succeed.