Is there any way to increase the distance between my nose and lips? (photos)

hello thank you for your question and provided information as well.. based in your question its difficult evaluate your i case dont with this angles, its recommended if you get a consultation in person with a plastic surgeon to discuss all about theme.

Hello and thank you for your question. Based on your
photograph, you may benefit from a tip refining rhinoplasty. Your surgeon can
accomplish this by trimming, suturing, and reshaping the cartilage in your
lower nose. You may also benefit from a cephalic rotation of your tip to turn
up your tip slightly and a conservative dorsal hump reduction.  Make
sure you specifically look at before and after pictures of real patients
who have had this surgery performed by your surgeon and not just a computer
animation system. The most important aspect is to find a
surgeon you are comfortable with. I recommend that you seek consultation with a
qualified board-certified plastic surgeon who can evaluate you in person.
Best wishes and good luck.
Richard G. Reish, M.D. FACS
Harvard-trained plastic surgeon

Hello,
Thanks for the question and the pictures.
I think a good Rhinoplasty can add some height to your upper lip if surgeon is told about your aims.
Its possible to relocate the base of columella little higher and rotate the tip of nose upwards.
I wish you all the best.