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Yes, a physician is not under a legal obligation to treat someone. If the doctor feels that a weight profile, for purposes of tracking weight gain and loss, is useful for identifying matters that would be of concern to the doctor, then the doctor can refuse to see the patient for numerous reasons.
First, the doctor can refuse based on the concern that not doing a full physical could result in misdiagnosis and that can result in malpractice.
Second, the doctor can refuse based on the concern (whether fair or not) that the patient would not comply with treatment recommendations.