Do you think it would be possible for me to get a small fat transfer to my breasts while lactating?

Dear laurene1234,
it is hard to tell for sure without an examination. Most surgeons would recommend you to wait until you stop lactating and then get surgery. If you are considering surgery, I would suggest you consult a board-certified plastic surgeon. Only after a thorough examination, you will get more information and recommendations.
Daniel Barrett, MDCertified, American Board of Plastic SurgeryMember, American Society of Plastic SurgeryMember, American Society of Aesthetic Plastic Surgery

Under no circumstance should you have fat transferred while you are lactating. The cannula can penetrate a duct and could have lactating in the soft tissue ending up with complications.

Best Wishes,

Gary Horndeski, M.D.

Hello,
Congratulations on the baby!
If you were my patient, I would ask you to wait until at least 6 months or more after ending breastfeeding. The first concern would be that the breast parenchyma and ducts can be damaged causing milk to leak and collect in your breast which could become infected leading to abscesses or mastitis. This could also alter you ability to breastfeed if that is what you desire. And finally, we can't predict how breastfeeding will affect every breast, some worse than others. It is good to give it time to settle and deflate as much as it is going to before altering the breast.