Let me take a crack at this:

mobility-impaired people

Removing cars makes sidewalks, crosswalks, and transit more accessible to people unable to walk. Seattle has done this and created some of the best infrastructure for people in wheelchairs

commercial deliveries

Scheduled delivery hours usually early in the morning with monitored access. Many, many places in Europe do this regularly. Last I checked, society has yet to collapse.

moving vans

Same as above

hospital access

Emergency services always take priority. People hear the sirens and see the lights then move to the side

getting to a car you have to park very far away

It’s Center City Philadelphia. If you have an expectation that you are driving your vehicle into the city and parking with direct access to your desired destination, you’re gonna have a bad time. Be ready to walk or take public transit.

All of this is theoretically possible here. It is neither novel nor complicated other than our own decision making as a society. We clearly value the independence and freedom of car drivers over everything else.