HELL NO!
If women needed to wait for permission from their bosses to do career development, we'd be in a whole world of trouble.
You can totally do this program without your boss helping. You can actually do it without ever even telling your boss.
I mean, they might suspect you did something different when you suddenly start showing up with spotlight-stealing ideas that get the attention of the CEO, earn piles of money for the department, and make them look like an excellent manager. But it'll be up to you to tell them why you're suddenly a business genius.
Maybe she's born with it. Maybe it's The Game Changing Year.