Bicycles and public transportation are better yes. If I were healthy enough I would consider a cargo bike and bring 20kg of shopping home on that (for real). It would be cool. Then buses for unladen journeys.
Why 20kg? I could stop by the supermarket every day and get what I can carry in one or two bags.
If the cargo bike is electric, the threshold for healthy enough lowers significantly.
My weekly shopping for a family of four is done on one like that, which I can park like 50cm away from the shop door and 50cm away from my home front door. That’s even more convenient than any car.