False. Cargo bikes exist and are capable of hauling kids and groceries. You can get them e-assist, so you don't have to be a dedicated cyclist.
If you need to travel more than ~2-3 miles or so to get groceries or get to school (in a populous area) that's a failure of urban planning.
Yes, there will be some people with mobility limitations who still needs cars, but that's a tiny minority of the overall population.