I couldn't tell you for sure whether that was the case or not, but I would suspect it would be possible. What would IMO make the most sense if you are going that route is to use the same machinery that was used by the Forrestal or Kitty Hawk class aircraft carriers, which is eight 1200psi oil-fueled boilers and steam turbines, the powertrains sourced from a variety of makers - Babcock and Wilcox, Combustion Engineering and Foster Wheeler made the boilers, General Electric and Westinghouse the steam turbines. I'm not sure how well these would fit in a battleship, but considering the higher pressure of the boilers and better steam turbines meant you could improve efficiency, I suspect that they would fit. The Iowas were also an eight-boiler, four-turbine setup, so it may well be possible that it would be a case of simply replacing the components in existing engine rooms. I couldn't tell you on the Alaskas, I don't know much about them.
The fact that they were used on a bunch of carriers that saw lots of service (the last steam turbine-powered carrier was retired in 2009) says to me that the industrial base was quite alive and well at the time, so it might be a simple case of designing the installation, having the components manufactured and then hauling the ships into the dry-docks at Newport News, Long Beach, New York or Alameda and installing it.