In the cities, where nobody really lives in the historical center, it is doable. (We are not talking about driving through; we are talking about access/servicing; there are very few cities without a ring -- or several rings -- where driving through center is the fastest way from one end to another).
In the cities, where real people live there, it is not. Every part of the city needs servicing, including center. Your plumber won't lug his tools on a scooter; your furniture won't teleport itself into your house either. Every now and then, the residents themselves need to bring in or out their heavier or larger crap, so issuing permits to entry to well-connected companies is not a solution.
Yes, I do live in city center; and yes, we also have people who know nothing about living there, but they go to pub there every Saturday night, so they have strong ideas how it should be. It is not limiting them, after all.
It's never this black and white, also not needed. Usually city centers are closed _for outsiders_, while allowing the residents and local business traffic. This already curbs the traffic a lot and reduces also a lot the need for a second car lane - or such.
Edit: just for clarity: this model is already working (plumbers, movers and locals included).
You don't need space to have everyone's plumber visit at the same time using an 18-wheeler either. Just converting a few streets into one-way already frees up plenty of space.
In 90% of inner city streets you could just block through traffic for cars and reduce traffic to almost zero, without inconveniencing people living there.
So delivery vans and service vans get a permit to drive downtown. Possibly the same for residents (could go either way here, based on housing density and alternative transport options). But personal vehicles of non-residents are banned.
In the cities, where real people live there, it is not. Every part of the city needs servicing, including center. Your plumber won't lug his tools on a scooter; your furniture won't teleport itself into your house either. Every now and then, the residents themselves need to bring in or out their heavier or larger crap, so issuing permits to entry to well-connected companies is not a solution.
Yes, I do live in city center; and yes, we also have people who know nothing about living there, but they go to pub there every Saturday night, so they have strong ideas how it should be. It is not limiting them, after all.