Oh yes, all of what you stated is being stated in buddhist
doctrines, and there are such people.
Even today there are no lack of practitioners who develope psychic
abilities. It is not uncommon. I have known of many buddhist
teachers, masters, who have developed these supernatural powers. I
shall not say Who. I have also known some Hindu Yogis who developed
these supernatural powers. Psychic abilities are a side-product of
Concentration, Jhanas developed from meditation.
However I have to warn everyone here not to simply trust a boastful
person about his own powers. True practitioners do not usually
boast about such powers even though they may possess themselves.
However this is not to say that whoever you heard that possess
"Supernatural powers" is false, just that the practitioner himself
don't go around boasting it. (edit) [NOTE: I do not
consider Blue-mind as boasting, just sharing of
experiences.]
There's a danger. Just yesterday in my dharma centre, I have heard
from a person who sought help from my dharma teacher.. its about a
group of ppl... they have sought a person who claims that he has
"surpassed the triple worlds". Some conflicts happened and bad
things happened to them, they developed rashes, fall ill, and it
was quite clear to them that this person who claims that he has
"surpassed the triple worlds" is responsible for doing some sort of
"magic" on them...
My dharma teacher replied that there are only two
possibilities:
1) Such a person, his practise and cultivation has deviated from
the Buddha Path and becomes "demonic".
2) Such a person, he was being possessed/given powers and aid by
Gui-Shen. [Gui-Shen are spirits of better karma. But these types of
beings u cannot invoke or anger them, because they are attached
beings who can easily be angered. For example if u promised them
something u must surely return them. Spirits have their own
powers.]
If kena such things... theres nothing you can do, You create the
Karmic cause, you have to take it. The best solution now for them
is to keep chanting and repenting... so this karma will pass
soon.
Don't let curiosity kill you.
Be careful of whom you trust..!