itIt is not possible because of gravity, with the spherical shape of our earthsEarth's core, the earth is shaped into a sphere. If there waswere a donut shaped planet, there would be no place for the core, therefore it wouldn't be classified as a planet. With the hole in the center, the center of gravity wouldn't exist. To be classified as a planet, it has to have a core, and atmosphere, and has to be shaped as a sphere.