Are All Possible Risks of Cross-Contamination in Check?

Is there possible Cross-Contamination of pre-shelled, pre-cut, pre-formed, pre-grated or milled items such as nuts, corn meal, canned fruits, cheese toppings, or prepped frozen potato items such as hash browns? If so, do any Staff members actually think it is acceptable to simply rinse off this item before serving in order to make it Gluten-Free?