There are various ways of being carfree - as an individual or as a society; for a day, or most days, or permanently; in a small area of a city, or (as an ultimate goal) across most of a city.
Even if we don't own a car, almost all of us will depend on road transport for many of the things we buy - however this too can be reduced both by growing our own food (e.g. through urban agriculture), and where possible, conscious consumption.