Yes, apart from the Moon and Mars, meteorites have been identified from known asteroids.
One such asteroid is Asteroid 4 Vesta. Meteorites from Asteroid 4 Vesta are known as HED meteorites, which include howardites, eucrites, and diogenites.
The connection between Vesta and these meteorites has been supported by data from NASA's Dawn spacecraft, which studied Vesta's surface composition and found it to be consistent with HED meteorites. This discovery has been documented in various academic sources, including publications from the American Geophysical Union and research conducted by planetary scientists at institutions like the University of California, Los Angeles (UCLA) and the Max Planck Institute for Solar System Research.
These findings enhance our understanding of the solar system's formation and the processes that shaped planetary bodies.