No it doesn't... where did you read that? Money starts with fiat money about 5,000 years ago in the middle east ... it was credit that kept track of debts between citizens in. There's no evidence of bartering in our history (despite what economist speculate in their textbooks)... there were complex systems of gifting goods between friends and family but no bartering (which is distasteful in most cultures). We went from fiat credit to coins around 250 BC when formal armies started to be formed.
Read a better book :p