Is there surgery to correct puffy areolas? I am a 24 year old female.

Thank you for the question and pictures.  You demonstrate your concerns nicely.
Areola reduction  involves  circumferentially removing areola  skin  around a smaller areola design. This procedure can be done under local or general anesthesia. It is often  done as part of a breast augmentation/lift,  breast lift or breast reduction  procedure. If the areola are "puffy" (for example, as seen with constricted or tuberous breasts) some breast tissue excision may be helpful.
Patients should be aware that despite best efforts scarring will be visible and potentially abnormal ( possibly thick, raised and/or pigmented).  Some areola  asymmetry may also  be present after surgery.  Their  is  a small chance that  a patient may lose sensation.
As with all plastic surgical procedures, patients must weigh the potential benefits against the potential risks/complications while making decisions.
I hope this helps.

Based on these photos and your history it seems that you have a mild form of tuberous breasts. Large areolas and bulging of breast tissue underneath areolas are the main feature of this deformity. Correction of both size of areola and puffiness can be corrected using scar around areola and adjusting the underlying breast tissue to prevent further bulging. In person consultation with a board certified plastic surgeon with good reputation in breast surgery is recommended. Good luck.

Hi and thank you for the question. Yes there are procedures to help with puffy areolas. We typically use breast lift (mastopexy) techniques which involves a scar that goes all the way around the areolas. We usually do this in the office under local anesthesia. Best of luck.
Dr West