In my use not. Mansplaining for me is a condescending explaining of issues to people that probably have more knowledge on the topic than the mansplainer. And it's 95% men that do this, but not exclusively.
Crank for me is someone that propagates non-scientific "science" ideas.
Those cranks that I hear of are usually also mansplainers (and men, as far as I can tell), but only some mansplainers are cranks.