I’m allergic to corn. Is there a substitute for cornstarch or corn meal?

You can use arrowroot instead of cornstarch. Most supermarkets carry it, but you’ll definitely find it at a health food store. There isn’t really a replacement for corn meal. If a recipe calls for 1-2 tbsp, you could probably just use another flour, but if corn meal is a main ingredient (in, say, cornbread) you’ll just have to skip the recipe.