I’d argue no, since doctors are trained to provide the best medical care for the patient, without cost being a factor. So, I’d say that this study suggests that physicians are doing pretty well in that regard:

Your doctor may be expert at diagnosing and treating your physical ailments, but if you think he’s going to keep a watchful eye on your wallet as well to prevent financial injury, think again. According to a new study, although doctors are very likely to recommend a generic over a brand-name drug to save patients money, when it comes to more complicated medical decisions, they frequently fail to consider patients’ potential out-of-pocket costs.