The development of a "meaningful connection" should be a central goal of the doctor-patient relationship, if you mean "the development of a relationship in which a patient is willing to become vulnerable, confide in the physician, and to entrust the physician with their care". The ability to develop this relationship is, in my opinion, essential being an effective physician. If by "meaningful connection" you mean becoming chummy and knowing one another on a more personal level, by and large no, with the exception of specialties that have extensive interaction with a given patient or their family over time