“Can you develop allergies at any age?”

Less common to develop new allergies above age 60 but YES still fairly frequent. If you didn't already know if you should know that the primary function of the immune system is to protect us against cancer by recognizing the differences in the receptors with which cells communicate with each other. Defects in this signaling are what allow cancer cells to grow and spread outside of where they belong. Allergies are when the immune system finds the same differences in things that are dangerous and attached them like it would attack a cancer cell and allergy symptoms are the bystander casualties of the chemical weapons immune cells used in that attack. You're developing allergies at age 53 probably means your immune system is relatively young and vigorous for your age. While the allergy symptoms are annoying, the same active immune system probably reduces your risk of certain cancers.

Yes you can develop an allergy at any age

Yes, you can develop allergy symptoms at any age.

Yes, allergies can develop at any age. Allergies to certain things are more common in some age groups compared to others but people can become symptomatic at different times in their lives.