Absolutely no chance. NASA spent 20 years designing this new super rocket, never even built a single one of them; so it only exists on paper, and when you look closely at the design it is basically the Saturn 5 with some slight modifications.
The reason so many engineers jumped ship from NASA and went to work for SpaceX is that at least Elon is doing something with some alacrity. NASA is just a bunch of paper shuffling time wasters at this point (especially at the top). People forget that they subcontracted most of the Apollo project. Having civil servants who never get fired is not the way to achieve excellence in any product or service!