Industrial capacity versus economic damage

Did the 1950s Soviet economy have the capacity to build Stalingrad task groups?

Probably in a narrow industrial sense, but not without harming other sectors; the political importance of the affected army or air-force interests would decide whether that mattered.

Soviet yards may have had the physical capacity to construct the task groups even while the wider economy was still recovering from the Second World War. The ships would probably cause trouble elsewhere, while Stalin's system might tolerate damage outside the politically favored army and air force. Whether the program survived would therefore depend on which institutions and politically connected senior officers bore the cost. Industrial capacity alone could not settle the procurement question.