In that case, no there is no friction acting on the man. There is, however, a distinction between "static friction" and "sliding friction". If the man attempts to move forward, he moves one foot forward which causes his other foot to exert a force backward. That foot does not move backward because of the static friction which acts on it even though that foot is not moving. If the static friction is not enough, if he is on a slippery floor, the force backward will be greater than the static friction and that foot will slide backward (now subject to sliding friction which is less than the static friction) making it difficult to walk forward.