Yes, fan art is an anime. It's a term used to describe the drawings and paintings created by fans of anime, manga, and video games. These works are often inspired by the characters and stories found in these media, and they're usually created as a way to show support for or express admiration of them. While some fan art is simply amateurish doodles, there's also a great deal of highly skilled work being produced by talented artists. Much of it can be found online, particularly on sites like DeviantArt.