Pickle is a stack machine (https://en.wikipedia.org/wiki/Stack_machine). It is Turing complete.
See source code and documentation at https://github.com/python/cpython/blob/master/Lib/pickle.py#... https://github.com/python/cpython/blob/master/Lib/pickletool...
N.B: "Turing complete" really means a lot less than you seem to believe.