Non-surgical Procedure to Shorten Distance from Nose to Lips

Your concerns are visible in the photo. The treatment modalities we have available to shorten the upper lip include:

1. laser resurfacing of the upper lip
2. excision of skin along the lower edge of the nose
3. excision of skin along the upper edge of where you normally wear lipstick
4. a subperiosteal midfacelift
5. removal of a wafer of bone above the upper teeth

Each of these procedures has its pros and cons. None of them can give you a guaranteed amount of upper lip shortening. 1 can leave you with permanent pigmentation changes that have to be camouflaged with makeup. The main drawbacks of 2 and 3 are visible skin scars unnatural lip shape that can be very unsightly. 4 is performed through incisions inside the mouth and can cause weakness of some of the facial muscles. 5 is only indicated in patients with long facial bones and these patients will still need a skin procedure to achieve the desired result. In my open no amount of fillers or botox will shorten the upper lip. Filler injection into the lip itself can curl the lip upward as you suggest but in your case I do not think that will camouflage the length very much. The could thing is you can have a short lived filler or even some saline that only lasts a few hours injected to see if you this gives you any improvement.
 

The upper lip line can be filed a bit, and this may give the illusion of a shorter upper lip...but it may  not.

You would likely not have the result you are looking for with injectible fillers. However, they should be tried on the possibility that you might like the result. You might need fillers in both lips to maintain a harmonious appearance. Based on your photo, I would highly recommend a subnasal lip lift (excision of skin at the bottom of the nose).

If you like the temporary
result of fillers, you might the consider permanent lip implants with the new soft silicone implants which could always be removed if unsatisfactory.