Are kellogg's eggo pancakes and waffles safe for a peanut allergic child?

No peanut in Eggo. According to the ingredients posted on the kellogg web site there is no peanut protein in french toast or buttermilk waffles and none in blueberry pancakes. The main allergens (allergy provoking substances) in these products are wheat, egg, milk and soy, so if the child is allergic to any of these substances, eggo products should be avoided.
Yes. A brief review of the eggo product line indicates that there are no peanuts or tree nuts in any of the products. Most contain soy, but only 5% of peanut allergic children cross-react with soy. Product ingredients occasionally change, and it is always a good idea to check the label.