I have started numerous clubs. It really depends on how determined you are. For Girl Scouts I called around to many churches until someone said that we could use a room in the church. I had to go to a training to become a leader. For chess club, I found a local chess organization which offered to do all the work/coaching for the club. I had to run the details past the principal and then write a proposal which was given to the PTA. The PTA approved it with the promise that the there would be a certain number of scholarships offered to kids who otherwise could not afford to join.
Starting a club is usually possible - it just takes someone who will do lots of legwork.
