In my opinion, an Enlightened Master should be able to transfer the "State" or "Understanding" of Enlightenment to another. I mean at the end of the day, everything is Nonlocal, all illusions seen through, anything is possible, etc ....so Why Not?
Here's a little Dzogchen support:
2) The White Silk Thread Vessel (Ch. baisixian mai ..., Tib. dar dkar skud pa) enclosed in the Kati Vessel and going through the Brahmå Cavity (Ch. fanxue ..., Tib. tshang bu). This is the path for the practice of transferring consciousness (Ch. powa ..., kaiding fa ..., Tib. ’pho ba);
Particularly the sentence concerning: "This is the path for the practice of transferring consciousness"
Anyway, in my own experience, I was once near a budding Vedanta teacher on a mini retreat, I, completely wrapped in mind and simply "there" to "listen", sat peacefully for the lessons of the day. The teacher leaned his forehead over to mine, and before he even said anything, the Center of Awareness lit up like a candle. What he even said, I don't personally remember, however it was quite a few times that this "lighting of the candle" happened with this particular teacher.
Which makes me wonder.... why not transferring Enlightenment?
On another note, I can recall another Nondual teacher who passed away not too long ago, Richard Rose, who supposedly had this ability as well.
Makes ya think aye?