Yes this could be because of allergic disease.
You must consult an ENT specialist
and get done --CT scan
of nose and para nasal sinuses
To see for the condition of sinuses and so that if there is disease in the sinuses can be ruled out,if there is anatomic problem so that can be treated surgically.
As ,when there is anatomic abnormality like deviated nasal septum
then the air flow is not proper in both the nasal cavities and there is turbulence in the air flow so the skin gets irritated and may lead to allergic reactions.
So get examined and plan further management.