Check out the raising of Chicago (https://en.wikipedia.org/wiki/Raising_of_Chicago). From buildings up to entire city blocks were raised, moved on rollers, or both, usually while businesses and residents stayed in them for normal day-to-day life.
They also rebuilt much of the city because it was wiped out during the Great Chicago Fire of 1871, and now the grid system is one of the most commonsensical ones in any major American city.
Chicago is an example of a (more or less) clean-slate engineered large city -- one that arose as a result of tragedy (fire) and failure (cholera).
The technology in this video appears to be computer control of the many pistons underneath the raised block. I would estimate that could be done with roughly 1970s-level of technology.
The town of Kiruna in Sweden is currently being relocated because it is sinking into the iron mine that originally led to the founding of the town. Some buildings are being relocated on tracks in a similar way to that Shanghai video.
Structure relocation is 19th century tech, still as fascinating as back then. This was done all over the world, on a much bigger scale than a single block. In some US cities in particular, and in Moscow they moved entire streets like that, with people inside.
It's just expensive and there's no reason to do that unless the city is being actively developed, which Shanghai still is, and older structures are in the way.
I think the real question is whether we can do it today.
e.g. When NYC expanded its subway system for the first time in 50 years in 2017, it cost $2.5 billion per mile. 8-12x more expensive than similar projects in foreign cities.
There might be too much regulation and too much cost and too many meetings and too many contractors and too much political conflict to do many of the feats we did in the 19th and 20th century.
Here is the Kaisersaal in Berlin being moved on air cushions in 1996 [1]. And wasn't a better part of Chicago jacked up building by building some time in the 19th century to make room for a sewage system?
Back in 1991 a church built in the 1500s was moved on rails at Kifissia, Greece. Sure, not the same scale but taking into consideration the time it was built, it was a great achievement
Yes, it has been common enough, no "robots" required. The Indiana Bell Building is a famous one from a century ago, which gets videos posted about it on social media ever so often.
Something similar but different was back in the early 1900s, several city blocks in Seattle were moved or relocated when large chunks of the city were blasted away with water to flatten it. Although most old buildings were simply demolished.
As for your actual question, I'm pretty sure we (US, Europe, humans in general) could do quite a bit more than we do now if we had a reason to do so. (or were 100% sure about the results)
