Definitely: social organization of clans and tribes and moved around a lot. Might be livestock was only surplus if you mean that livestock was kept from season to season.
A pastoral society is a nomadic association of people who move with a herd of trained animals, which they rely on for food. The word pastoral comes from the Latin root word pastor, which determines shepherd. Someone living in a pastoral society is named a pastoralist. Everyday life is focused upon the tending of herds or droves.