So is a football, but you have not asked about them.
A planet is defined roughly thus:
It is an astronomical object orbiting a star or stellar remnant (i.e. not a planet) that (a) is massive enough to have been made roughly round in shape by its own gravity, (b) is not massive enough to cause thermonuclear fusion, (c) and has cleared its orbit of smaller objects and debris.
No, a planet is defined as a round object orbiting a star or stellar remnant that has cleared its orbit of other stuff. While the moon is large enough that it might well qualify as a planet if it orbited the sun, it orbits the earth so it isn't.