Are you in the USA? Our Constitution guarantees the right to PURSUE happiness, it doesn't guarantee happiness. In other words, you are free to work, earn and buy a car.
It means you have to pick other means of transport, just like having no home means you need other forms of shelter. Traveling is limited by your personal resources, however to get from point to point.
No. It only means you do not have money to buy one or chose NOT to have one because your city was smart enough to invest in public transportation. And there is always Uber now.