Not even close.
Haley's not that highly-educated herself. She holds only a bachelor's degree. I will say that I'd much rather see her as president than either Trump or Pence, but she's not enough to compensate for the mess that Trump represents. Highly-educated women would rather see a woman with a law degree or PhD, something like that, on the ticket, and even that probably wouldn't attract them. Trump's simply too great a problem.
Pence has a law degree, but that hasn't prevented him from being totally ineffectual. Granted, highly-educated women would prefer a woman to him, and someone who's not the total religious reactionary that he is, but anyone who'd agree to run with Trump would not likely be the sort of person highly-educated women would vote for.