I agree with nyguy, tests to detect food intolerances are unreliable. ( but frank allergy testing is reliable, especially the skin prick test and the IgE blood test) but you would probably know you had an allergy from your symptoms--itchy rash after consuming the food).
For food intolerances it's best to do as nyguy said, eliminate a food for awhile, then reintroduce it and see if your P reacts. It is known that some psoriatics are sensitive to gluten, so that's something to experiment with first. (although I'm still not sure I am sensitive to gluten after much experimentation! I don't notice much difference!)