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Chosen answer: If you recall the episode with the traveller, who takes the Enterprise out of their galaxy to one neighbouring Triangulum, we are introduced to the concept that time and space are not the "separate things they appear to be" (see season 1 episode "Where No One Has Gone Before"). This theme runs rampant throughout the series, and novels. In particular, we learn of the El Aurian's sensitivity to shifts in the space time continuum: remember the movie with the Nexus? Anywho, Picard and Guinan are intertwined lifeforms in multiple realities and timelines. In a later season, he goes back in earth time to rescue Data, and ends up saving Guinan's life: she is uniquely aware of this in her past, and knows who he is before he knows that would save her life in the future. Also, because Picard travelled back in time to be the hero, his younger self fresh out of the academy on his first captain's assignment on the starship Stargazer comes into contact with Guinans in a novel from the Stargazer series that ties up even more lose ends; after her world was destroyed, her depression so deep, created a Guinan we would be hard pressed to recognize: but she recognizes Picard as a young man in trouble with the planet's law enforcement and comes to his aid. There are other links as well, but rest assured that their connection is one that does not hold description in any language we understand: it's one that is part of the fabric of the universe, of which they share a kind of common thread. Picard is also uniquely linked to Q, but that is another thread!