Possible to Have Breast Lift Through Armpit or Transaxillary Incision?

Hi there-
Please be very careful.
It is important to realize that if you wave a bit of money in the air, you will probably be able to find someone to do anything you wish...
As an aside- there is even an eye doctor here in Orlando calling himself a liposuction expert, and an ER doctor who lost his license after he did a "breast lift" by placing a screw used for fixing tendons and bones into a woman's clavicle and pulling the nipple up using a suture tied to the screw (!).
There is no safe and effective way to do what you are suggesting.
The ONLY way to be sure you are always safe and have a high likelihood of achieving your goals is to be sure you are dealing with a surgeon certified by The American Board of Plastic Surgery.
For more advice on how to find a surgeon you like and can trust, please read this:

No, it is not possible to achieve breast lifting through transaction very incisions.

Breast lifting involves some degree of tightening and lifting the breast skin envelope.  In order to tighten the skin envelope, skin excision is necessary;  this results in the presence of scars. 

Sometimes, the presence of scars is a “dealbreaker”;  patients would prefer to leave their breasts unchanged than to have scars. At other times, patients  prefer to have the improvement in breast position, shape, and (possibly) size  and are willing to accept the trade-off of scars.

I hope this helps.

Lifting the muscles though the armpit will not lift the nipples. Even if this could be done, all it would accomplish is to lift the breast on your chest but do nothing to change the shape.