Well, his family members change according to the game. He has an uncle in "A link to the past", a mother in "Ocarina of time", a sister and grandmother in "Wind Waker" and a grandfather in "The Minish Cap".
In some games, yes! link has a Grandma and a sister in wind waker but his parents never seem to be around..... usually he has one to 2 family members in the games.
If Du READ link to the past, he has parents and an uncle....but they all die oder dissapear! his parents go to the one dark world, and his uncle dies due to aghanim. what a sad kid!!1