There are multiple artists with this name:
1. A jazz rock band from the United States
2. A Christian metal band
3. A eurodance group
4. A pop group from Japan
5. A guitarist from Idaho, United States
6. The recording alias of Michael DiMartino
7. A musical group who has release multiple EPs
8. A rapper for Australia

1) Bill Chase was a virtuostic trumpet player who played in the Buddy Rich Big Band and later led his own jazz-rock group "Chase". He and most of his band were tragically killed in a plane crash.