It really depends on where you live.
I would say 'no' where I live now. Although there is a bus stop almost outside my house, it takes three times as long to get to work by bus than it does to drive - my drive being around about 20 minutes, and the bus journey (plus walk at the end) being an hour. I can actually beat the bus journey on my bicycle, and it's 12.5 miles (hilly miles, too). The bus not only goes "around the houses" taking a route much longer and slower than my direct route, it stops all the time, and it only goes within a mile of my workplace. It would be 1.2 hours every day longer on the daily route to work.
On the other hand if I lived in a big city such as Madrid I wouldn't even bother owning a car, regardless of whether public transport was free or not. The car becomes more of a liability than an asset once you live in a densely populated city.