Can You Reduce the Verticle Length of the Alar Wing?

     Absolutely, the apparent alar length can be shortened.  With regard to the shape of the ala, this can be altered as well, but not as predictably as the gross length.  The techniques needed would depend upon the relative strength of the lower lateral cartilage constructs, the total length needed to be removed, and the relative height of the dorsum.  Rotating the tip upward and decreasing the apparent length and height of the nose can be done through a multitude of cartilage trimming and suture techniques among others.  I diagram the rhinoplasties for the patients who are interested in how things are manipulated during the surgery, because these things can be difficult to understand with simply verbal description.

I think that it is critical for you to be examined in person.  A nose can be shortened but it really depends upon how it looks. 

 Without photos, of your nose, it's impossible to tell.  What may seem possible to you may be contraindicated aesthetically.  You should have in person consultations with experiebnced Rhinoplasty Surgeons that understand and follow the proper aesthetics of facial (and nasal) beauty for the creation of a naturally more attractrive nose and face.