Yes, there are galaxies that are further away from us than both the Milky Way and the Andromeda Galaxy. The observable universe is vast, and it contains billions of galaxies, each potentially millions or billions of light-years away from us.
One notable example of a galaxy further away than the Milky Way and Andromeda is the Triangulum Galaxy, also known as Messier 33. It is the third-largest member of the Local Group, which includes the Milky Way and Andromeda galaxies. The Triangulum Galaxy is located approximately 3 million light-years away from us.
Beyond the Local Group, there are numerous galaxy clusters and superclusters that contain galaxies even farther away. For instance, the Virgo Supercluster, of which the Local Group is a part, spans over 110 million light-years in diameter. It consists of thousands of galaxies, including the Virgo Cluster, which is about 54 million light-years away from us.
Furthermore, as our observational capabilities improve and technology advances, astronomers continue to discover and study galaxies that are even more distant. These galaxies provide valuable insights into the early universe and the processes that shaped galaxy formation and evolution over cosmic time.