To be fair, my bosses have made noises about someday sending me to work-related conferences, where it would make sense to hand out my new business cards. Also, being as Hogwarts is a fairly large university, we do meet with other departments sometimes, and business cards are exchanged. They're usually more interested in other people in my department (as my job description is Wrangler of Paperwork, not Helper of People), but still, in theory.

P.S. I bet if the Star Wars universe did have business contact thingies, they would either magically appear on your whatzit, or they would be these little holograms that might or might not be you, saying your contact info. Either way, Leia is too busy for this nonsense.