Dear Camilla, Technically and unfortunately, the answer is no. When you reduce the amount of skin that envelops your breast in any fashion, it lifts your breast. I believe what you are asking is, can you reduce the size of the areola without all the scars associated with a lift and without an implant. Then, of course, the answer is yes.
Reducing the size of your areola with minimal scarring can be done by using several of the components present in the Benelli mastopexy. The concept here is to make an outer circle at the edge of your areola, and normally, I use an inner circle that measures about 38mm. Then I undermine inferiorly, laterally and medially, then bring the tissue up and put in a permanent circumareolar suture to inhibit the areola from spreading and the circumareolar scar from spreading. The process of moving the outer circle (edge of your existing areola) to the inner circle (new edge of your smaller areola) is a process of lifting and repositioning, not just pulling.
Your picture shows your areola are asymmetric now, the left being larger than the right, and your left areola is lower than your right. You have the option of keeping this asymmetry, but if you want the final outcome to be symmetric, there would be slightly more lift on the left.
To keep scarring to a minimum, I recommend once all the sutures are out around your areola and all the scabs are gone, then tape your areola 24/7 for approximately 3 months to decrease the chance of spreading and/or scarring. I also recommend wearing a good support bra 24/7 for approximately 3 months as gravity pulls even on your small breasts, and the greatest tension is at 12 o'clock on the newly created smaller areola.
You are a perfect candidate for the circumareolar or Benelli areolar reduction. You, of course, need the services of a Board Certified plastic surgeon certified by the American Board of Plastic Surgery and very experienced in the Benelli surgery.