Not everybody can use a car either. There's always exceptions to every proposal.
But I don't think bicycles and mass transit will take over ultimately. But self driving electric vehicles a bit larger than a bicycle could do it.
These will only need one seat and minimal storage. They'll go directly from home to work without stopping at every bus stop or train station along the way. And they'll be 1/4 the cost of today's car.
And, yes, they won't work for everybody and every situation, just like everything else.