No. High quality, film-screen mammography is the most reliable way to find breast cancer as early as possible, when it is most curable. By the time a breast cancer can be felt, it is usually bigger than the average size of a cancer first found on mammography.
Nevertheless, breast examination by you or your healthcare provider is still very important. About 25% of breast cancers are found only on breast examination (not on the mammogram), about 35% are found on mammography alone, and 40% are found by both physical exam and mammography.
Therefore, keep all bases covered by having monthly breast self-exams, regular clinical breast exams, and regular mammography.