Nonsurgical Areola Reduction Surgery?

There is nothing at the moment that would safely reduce the size of your areolas without surgery. Lasers alone would be highly risky.

Unfortunately there’s no way to reduce areola size without surgery.  Current methods of treatment all involve circumferential excision of the border of the areola to reduce areola size.  In some cases, the laser can be used as a surgical tool to assist in the process, but this does not decrease scarring.
The procedure can be done as a stand alone procedure, but is more commonly performed in combination with breast augmentation/lift, breast lift or breast reduction.  It’s important to realize that areola reduction is frequently associated with adverse scarring because of tension on the wound closure.
Breast reduction utilizing liposuction wouldn’t address the excess skin associated with breast hypertrophy.  This would result in an increased incidence of skin sag following this procedure. 
If you’re considering breast and areola reduction a more traditional procedure might be of benefit.  Consultation with a board certified plastic surgeon might be a helpful next step.  Consultation should result in a better understanding of your options.

Unfortunately, it is impossible to significantly reduce your areola without a surgical procedure. Fortunately it is easily done often with just local anesthesia as an office procedure.

There is no method of Nipple Areolar reduction without a surgical procedure.  Furthermore, if liposuction is used to reduce the breast size you will still be forced to deal with sagging skin due to loss of breast volume and skin elasticity.

The short answer is no.  The areola is reduced by taking a strip of the areola and then putting this skin back together.  This is usually done with a knife and suture.  Some may incorporate a laser for the process, but the laser is just a tool, the surgical principle is the same. 

Further, looking at your photos, if you are reducing volume, you could use a lift.  this breast lift will incorporate the areola, and reduce them in size.

Make sure you go to a board certified plastic surgeon as your case has a few interesting variables.