Not really, as a result of a
NATO competition for a new fighter-bomber the F-104 was developed into the F-104G which was the model bought by just about everybody who ended up operating the F-104.
To be frank, as an interceptor the F-104 was a complete and utter waste of space. No legs, appalling turn radius, lousy radar. Doing exercises and intercepts against them was easy, and in combat their only real tactic was a quick supersonic dash, blow through, and head straight for home claiming fuel priority. Even the F-104S wasn't up too much.