Not really. Jung pointed out that type can change... but he's referring to neurosis-inducing situations, happening over
decades; they're also pretty rare... probably just regular people being neurotic. You'll also find that Jung thinks his own type has changed.
Get his book,
Analytical Psychology: Notes of the Seminar Given in 1925 (Bollingen Series), and you'll find this on p. 69:
But obviously he considers himself more intuitive later in life, like in that video. So what happened?
Well, if you read about his history, like in
Visions, you'll find that he got in touch with his inferior side to further his research... after this point he turns towards some pretty esoteric stuff. So now, after having visions and stuff, he must think himself pretty intuitive.
Do you buy into the paranormal and stuff like synchronicity? Jung did. Just because he came up with a good idea doesn't mean all of his ideas are good. Just take a look at Freud. Don't tell me he didn't come up with anything of value, just cause his sexual theories suck.