There is no law that requires it, I find most banjo players did start on the guitar but not all-I have played banjo for 5 years and don't know a single guitar chord.
Like a lot of adults it's just a hobby for me, I have a job and a family and don't have much time to play or to practice. I only have time for one instrument and I happen to like banjo better.
Now if you wanted to join a group, professionally or semi professinallyprofessionally then you might want to learn rhythm guitar so that you can back up other players, and you will appreciate other players who extend the same courtesy. And it is fun to know more than one instrument.
But in every informal jam I've ever been in, there were plenty of guitar players.
I have seen a few teachers insist on guitar first then banjo but in my experience they just happened to play the banjo as a sideline and really play and teach better on the guitar.
NoIf you want to play a complicated church or theater organ teacherthen few if any teachers will take on a student who hasn't played piano,work with you needunless you already play piano-that's reasonable since the organ has so many voices and options it is a waste of time to learn keyboard training for that, but moston it.
But I don't think any good banjo teachers will teach you banjo even ifteacher would ever insist on guitar first, they happen to be great guitaristshave different sounds and chords and generally players and students have reasons for wanting one or the other.