Is eliminating foods i'm allergic to from my diet enough to prevent an averse reaction?

Yes: If you are allergic to a specific food (i.e. Ige antibodies to a protein), avoidance is crucial to remain free of reactions. However, always carry your Epipen (epinephrine) with you as well as some antihistamine for accidental exposures.

In most cases, yes: An elimination diet is an effective way of avoiding allergic reactions to foods. However, your physician should ascertain that you are allergic. A positive skin or blood test for allergy is not enough. You also need to have a suffered a reaction that correlates with that test (for instance developing hives when you eat peanuts).