Can a 17-year-old men get breast cancer?

No. Male breast cancer occurs, but it is not common and it practically never occurs under the age of 30.
Yes. Of all breast cancers, 1% are diagnosed in men. Of that 1% most occur in men aged between 60 and 70 years old. So although it is not impossible for a teenage male to get breast cancer, it is very very rare. If it does occur, the patient should be tested for genetic mutation as family history may be a significant risk factor for the disease..