Planetary rings are made up from debris from either when a planet was forming, or from a collision that resulted in pieces and particles being scattered, eventually forming into a ring around the planet. Well, Earth cannot have an ice ring like the ice giants, as it's far too close to the Sun. The other type of ring we could have had would be made up primarily of dirt and rocks. In fact, we may have had a ring in the past, but this was theoretically destroyed in a collision - the rocks and particles from our ring ended up forming our moon!