asimov
Does Yale SOM require on campus interviews?
Depends on your situation. If you live in US, they really would like you to do on campus interview (I have not yet met anyone in my class from US who has not conducted on campus interview, but I would ask the adcom directly for your options), and if you live in US and won't even come to YSOM for interview, that might send a wrong message that you might not be serious about the application.
However, if you are an international student, I heard that they try to accommodate you, depending on your situation...phone interview or alumni interview. Again, ask the adcom for your options. Asking questions won't hurt your candidacy.

UPDATE: I just asked the adcom for you. Although it is unusual for US applicants to request off site interview, if you have a valid reason, they will try to arrange off site interview for you even for US applicants.