Question: has tyrion meet daenerys in the books?
Answer: The last that readers saw of Tyrion in the books, he was one his way to meet Daenerys — which, as fans of the show now know leads to the destruction of King's Landing. At the end of The Dance Of Dragons, the last published ASOIAF book, Tyrion has not yet formally met Daenerys, although they are in the same proximity.