Most, but not all. There is some variation out there, but predominantly, the many Leo Fender designed instruments are the most readily available.
FWIW, I would try as many different basses as you can, be it in shops, music shows (when they start up again), or at friends / acquaintances. You'll play basses you'll like, you'll play basses you don't like. You'll more than likely start the eternal quest for "the one".
Welcome.