If a man takes the birth control pills for an extended period of time, he will actually start developing female like characteristics such as the breasts and the hips. However, if he takes just once, he will most likely experience nausea, faintness and have pregnancy like symptoms as a result of the overload or surplus of female hormones within the pills.
Gynecomastia, the growth of breast tissue in men, can be caused by hormonal imbalance, so yes, taking bc can cause breast growth in men. However, gynecomastic tissue is much more prone to breast cancer than normal breast tissue, so this should be avoided. Breast implants are a much safer way to go for someone wishing to transition fully or partially.