Yes you can make the profile smaller. But you must consider closed, scarless rhinoplasty!
When restoring a painting at a museum, they don't cut the painting down the middle to work on it. Likewise, you shouldn't inflict a scar on the middle of the face to restore/enhance the nose.
closed scarless rhinoplasty can subtly enhance the profile in such a meaningful and subtle way your friends wouldn't even know if you didn't tell them.
Consult a nose surgeon who dedicates 100% of his practice to rhinoplasty surgery to get the best discussion for your needs.