Pain in one breast and new bumps on nipple, could this be anything other than cancer?

Yes. Breast pain in not a common symptom of breast cancer. However discuss these symptoms with your primary care physician.
Most likely not . It does depend on ones age, menstrual status, personal medical history, and family history. Best is to see your doctor, have a mammogram and ultrasound. If a problem is identified-many times they can do a needle biopsy there-or refer to a surgeon for excisional biopsy .