Are Hay fever and asthma are allergies ?

Yes, allergic Rhinitis (hay fever) and asthma are considered as allergies, they can be caused due to both allergens and other factors.

For more information refer the link below:
https://www.meritnation.com/ask-answer/question/what-is-asthma/deficiency-diseases/1061177

https://www.meritnation.com/ask-answer/question/what-is-hay-fever/why-do-we-fall-ill/6924405