Possible to Change Height / Vertical Length of Nose?

Yes, the nose can be lengthened or shortened vertically with a rhinoplasty. This can be done by changing how upturned or downturned the nose is and also by changing the nasal starting point up in the area between the eyes (radix). There is no one set ideal length. Rather you would want a length that fits well with your overall facial proportions.

During a consultation you can discuss what it is specifically you are looking to achieve with surgery.

The length of the nose is determined by the angle where it comes off of the face, the location of this "takeoff" point (usually at the level of the upper eyelid crease), the angle between the nose and lip and the height of the tip itself. Refinement of nasal length has a dramatic affect on appearance, so it is critical you see a specialized, fellowship trained surgeon who is board certified. It is also important that you have a surgeon you trust and can communicate with. Take your time in this important decision. You will be rewarded if you do.

This can be done with a rhinoplasty. You should be very specific with what you want with your EXPERIENCED rhinoplasty surgeon.

Vertical height and length of the nose can be changed through rhinoplasty either by additional cartilage grafts, such as extended spreader grafts or by shortening the nose in the caudal septal region. In addition, the glabellar height can be brought back down with a dorsal osteotomy, which will reduce the bridge height and give the illusion of a shorter nose.  

It is possible to adjust the height and length of the nose using either augmentation techniques with cartilage grafts, or reduction techniques with excision.  A personal consultation with a rhinoplasty specialist would help determine if any of these techniques would be useful in improving the appearance of your nose.  Computer imaging is a useful technique that the rhinoplasty surgeon will use to demonstrate proposed changes in the height or length of your nose.  Then you can decide if that appeals to you.