I think things are fair in the residency interview process. The 'connections' that help are generally not idle acquaintances or friendships that one has with an insider, but rather a clinical relationship with prior knowledge of your capabilities, work ethic, and interpersonal skills. In that sense, it is kind of like an extended interview.
Someone above mentioned preference for known applicants. That is probably true, so long as what is known about that applicant is significantly better than what they could expect from their average applicant.
If you don't have a 'connection' at a residency program of choice, then try doing an away rotation there and knocking their socks off. That will give you an opportunity for them to learn more about you, and for you to learn more about them.