I suppose that its a distinct possibility that we could have a sixth sense of sorts...
Every now and then I have some things that one could call a sixth sense.
Some in dreams and some things like a spider (Black widow) hovering above my head on a web and scaring me half to death after feeling it being there....
I had a dream of a Wolf barking at me once and found that from my blood, that I am an American Indian in heritage apparently and due to a few factors, my spirit guide is a wolf.
And stuff on TV....dont get me started on that....I talk about something on tv...and there it is either the next day, or on that day....
Within the month that my mother died, (and my cat got put down 2 years prior) I had a dream of spiders, and for me, spiders symbolize fear and death.
(and more then a few other visions in dreams, and few otherwise, but they have happened)
So it appears that it might be a possibility of either Slight ESP-ish stuff is in my blood or we are all natively slightly psychic, but it might vary from person to person.
However, I am unsure if this is appropriately accurate since I have yet to even start to transition