Assumption would require razing whole city, with costs to all other users, especially pedestrians. So no, it is not going to happen.

Even with new laws requiring buildings to provide underground parking places, it won't be enough. It's never enough.

The suburbs exist in Greater London area too, just as they do near Warsaw. They have similar style to American ones, but more nearby services and are built in clusters. That makes them much more accessible to foot traffic.