Alexander the Great and Kleopatra did not, could not and shall not ever meet!
By the time Kleopatra was born, Alexander had been dead for several generations ... when Alexander went to Egypt he had no intentions of waiting around for a few hundred years just to meet one of the most beautiful women of ancient Egypt ... however, if he had not been so busy conquering the known world, he might have stayed in Egypt a little longer just to work on his tan and have a few Nile-Coolers ... as things worked out, Alexander just stayed long enough to visit a few shrines, found a new city and make sure that the Egyptians were motivated to pay their taxes after he left.
Alexander was destined to go to Egypt but he was never destined to meet Kleopatra ... try another answer.