It is possible, but not probable. Even at the age of 25-30, it is considered very rare. If there is a lump, get it checked out. Breast cancer patients are getting younger and younger. If you are worried at all that you may have breast cancer, go and see a doctor immediately.
This answer is completely correct except to tell you the lowest reported age of breast cancer was 17yrs. the average is about 55 yrs. of age. Every 2 minutes a women in the world is diagnosed with breast cancer. Unfortunately every 14 minutes a breast cancer victim dies of breast cancer.