I don't think so. "Let alone" and "leave alone" are used with negative predictive statements to indicate even less likely outcomes.
The government is not even going to initiate a review of pensions in this country, let alone (or leave alone) implement major reforms in the field.
I'm not going to talk to her, let alone ask her out.
As has been pointed out in another recent thread, "leave alone" is the BrE preferred form. I hear both let and leave here in Canada.
Student or Learner