There are many reasons that patients develop a deviated septum and trauma is only one of them. Many patients have a shelf or bone spur formation in the back of the nose that blocks airflow from a developmental abnormality. A deviated septum is only fixed when patients are symptomatic and has significant decreased air flow through either one or both sides of the nose
Yes, it is possible to have a deviated septum without breaking your nose. You can develop one early on in childhood or with puberty and growth spurts developed a deviated septum. This does not need to be corrected unless you have some breathing issues or frequent nosebleeds.