[1] https://www.bz-berlin.de/archiv-artikel/hier-schwebt-ein-den...
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)
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.
In the 60s a massive stone monument was moved 200m up in elevation to avoid being flooded by a dam.
Maybe the scale of these other moves were limited by not having the adaptable height jacks to keep everything straight.
https://en.wikipedia.org/wiki/Chicago_River#Reversing_the_fl...
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).
https://www.theguardian.com/world/2023/feb/05/why-a-swedish-...
At a constant rate that's approximately 1.3 tenths (3.3um) per second, definitely far below the threshold for people noticing.
Sorry, could only find reference in Greek language but the pictures and diagrams are universal :) plus translation options are always available https://www.mixanitouxronou.gr/to-ekklisaki-pou-xethemelioth...
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.
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.