Yes cancer can occur in your nostrils and nose.
It's rare that a person gets nostril or nasal or nose cancer but it certainly can happen.
Nose or nostril cancer is a very rare type of cancer and mostly affects men over age 40.
Symptoms of nose cancer are a blocked nose that doesn't clear, pain or pressure behind your nose and even pain in your upper teeth or even blood when you blow your nose if the blood continues and doesn't go away.
If you think you have nose cancer you should see a doctor and get tested.
Nose cancer can usually be cured if caught soon enough but if left untreated the nose cancer may spread and lead to death.