Could i have an allergic reaction to wool?

Yes: Allergies are inappropriate responses of the immune system to substances that do not cause harm. Non-human animal proteins are common cause of allergic reactions, eg cat allergy and dog allergy. Wool from sheep, alpaca or other animals is similarly able to induce allergic reactions.

Maybe: While wool is not a typical allergen, it does act as a skin irritant and can flare up eczema. It also can harbor other allergens. For example, a person allergic to cat is exposed to 10 times as much cat allergen when wearing a wool sweater as opposed to a freshly laundered t-shirt.