Although technically, it would be possible to transfer breast tissue from one breast to another, it is generally not a good idea to do so. Putting technical reasons aside, the primary reason not to transfer breast tissue from one breast to another has to do with the risk of breast cancer; increasing the risk of breast cancer is not justifiable when there are alternatives.
Reconstruction of a breast after mastectomy with natural tissue can be accomplished through time-proven methods of reconstruction using fat from other part of the body. For example, a DIEP flap transfers fatty tissue (and when necessary, skin too) from the abdomen to the breast. The fatty tissue of the DIEP flap is warm and soft, and though not functional as breast tissue, looks and feels like natural breast tissue. Because the tissue is not breast tissue, there is no risk of increasing a woman's risk of breast cancer with such a procedure. Similarly, fat grafting can be used, in certain situations to provide increased volume to a reconstructed breast.