Could allergies cause bronchitis?

Absolutely: For many patients there is a direct connection between activity in the upper airway (nose/throat) and lower airway (lungs). That is, when inflammation hits the upper airway, in the form of hay fever, it can spread to the lungs and cause asthma-related symptoms or bronchitis. Therefore, good control of hay fever can also improve control of the lung symptoms.

In a way....: Coughing can lead to inflammation of your airways just like in bronchitis. However, there is no infection present in this case. Treatment is aimed at relieving bronchospasm and inflammation.