I am 60 and have never even had a single driving lesson, let alone driven a car. It is definitely possible to have a car-free life.
The thing is, you have to accept that there are things that you can't do without a motor vehicle. For example, last week I helped my sister take several car loads of heavy rubbish to the local tip. (Old bathroom and kitchen tiles, old carpets and so on.) The council would probably have picked up a lot of that stuff if paid and booked to do it, but without a vehicle it would be impossible to do it on the spur of the moment. (Before someone suggests it - the council does not allow pedal-powered vehicles into the waste disposal centre!)
I once went out shopping on Christmas Eve. I ended up queueing an hour for a bus in snow and sleet. I was carrying bulky gifts including a large whiteboard and a TV set (the old-fashioned big, heavy kind). It was impossible to get a taxi because they were all too busy. No fun!
When I am organising my forum rides, I start them locally, or from places not too far away that I can cycle to/from. If further afield, I have to rely on lifts from kind drivers, or catch trains with my bike.
If you learn to drive then you have the option to own a car, or just to hire a vehicle from time to time when you need one. If I were younger, that is probably what I would do - pass my test, but not bother buying a car. I would probably only drive about once a month or so, a
maximum of about 100 miles each way so ownership would not make a lot of sense. I would still walk to my local shops and walk/cycle/catch a train to visit friends down the valley. I have a railcard and can get a return ticket for only £1.60. There are 3 trains an hour during the day and at least 1 an hour in the evening.
I certainly would not want to live way out in the sticks where
@hopless500 does without a car. My late mum grew up in a small Scottish village at a time when few people had cars and said that they felt very isolated. They had a few trains and buses a day but otherwise were cut off.