Yes, but that technology existed before the 1900s. Banham has a great graph that illustrates the sudden mass adoption of lightbulbs/refrigerators/air conditioning within the span of 10-20 years from 1910-1930.
Steel suitable for pipes, and long-distance water pipes, really did not exist before the 1860s, and mostly arose for and from the Pennsylvania oil industry. The earlier options were generally ceramic pipe (OK for horizontal flows, but prone to breakage), and open acqueducts (dating to Roman times), with wood or bamboo used for some shorter runs (tens to 100s of meters generally).
I don't know much about skyscraper plumbing at all, though I doubt it's just scaled-up 1-4 storey kit.
And by 1931, the Empire State Building was 102 storeys tall (443m).
