It would be fantastic if it was possible. I am not a doctor but I have several observations:
(1) Curing all types of cancer is a huge claim. Cancer might be a catch word for hundred of unrelated diseases. A single cure is unlikely.
(2) Cancer cells evolve continuously. Their altered DNA are spread along a spectrum and are changing continuously.
(3) Heat shock proteins correct misfolded proteins, what is the relation with cancer? A contrario, why diseases implicating misfolded proteins are not mentioned?