No, that would be an ineligible receiver downfield. They have to stay behind the line of scrimmage until after the pass is completed. For a straight run they can just block forward.
A lot of running plays involve one or more o-linemen pulling to overload one side or the other. Many play actions pull a lineman or two but then back-fill the pass protection with the backs or tight end. This looks like a run even though none of the o-line go downfield.
