Is it possible to narrow my nose tip & sides with surgery? (Photo)

Yes you are as long as you understand that your nose will always widen when you smile because that is a normal attachment pattern of how the muscles interplay on the face.

Based on your photo, you are a good candidate for rhinoplasty. A well performed rhinoplasty can make the tip appear more narrow, and the nostril width can be reduced as well, all while maintaining a natural appearance. Be sure to see a rhinoplasty expert for consultation.