@dadpad,
No, the broccoli is a personal preference of Jespah. The sammich only requires peanut butter and jelly (or jam, or preserves--i'd say most people actually use jam or preserves, although Concord grape jelly is very popular). It is a classic food given to children by a mother or father who finds it to be quick and easy. The standard method is to spread peanut butter on one slice of bread, put jelly, jam or preservers on the other, and slap 'em together to form a sammich.
Personally, i blame George Washington Carver.