The short answer is, yes. Magicians are a notoriously secretive bunch because they do not disclose their secrets very easily. What’s more, their Latin motto (Indocilis private loqui) translates as “not apt to disclose secrets”.
Despite the fact magicians do keep their secrets, they are not a secret society, and do not turn away those wishing to start a journey in the art of magic. Besides The Magic Circle’s reputation for secrecy, it is an extremely welcoming place for new faces. This is illustrated by the fact the building is actually open to the public for walking tours, talks, and shows. Incidentally, a full list of the club’s rules can be found here.