No, not really. See, in Ocarina of Time (which is the first in the timeline), Ganondorf, King of the Gerudo is trying to obtain the Triforce, which is locked in the Golden Land. But he only gets the Triforce of power. Link saves the day, and Ganon (Ganondorf's pig form) is banashed into the void between worlds. Then Link goes and saves the Land of Termina. Once Link grows up, he becomes a Knight of Hyrule and the first Hylian Knight.
Then come the Oracle games (I believe), where Link must stop Twinrova from summoning Ganon back from the void. Link fails, and has to fight Ganon. He defeats him, and he is sent back into the void.
However, eventually (And I personally think this must have taken millenia rather than centuries, since the Hylia(ns) have died out, and the Kokiri and the Deku Tree are gone, along with Gorons and Lake Zora) Ganon finds his way from the void into the Golden Land, and because the gate is sealed from the Light World, the Triforce cannot seperate, and Ganon gains the full powers of the Triforce. To help open the gate to the Light World, Ganon manages to posses the Wizard Aghinim (however you spell it), who sends the descendants of the Seven Sages (strange considering that All the sages are Human/Hylian and there were Gerudo, Goron, Zora and Kokiri sages, but after Millenia the blood would thin I guess) into the Dark World. Link rescues them and defeats Ganon.
Then He goes a-sailing away and shipwrecks himself on Koholint Island, where Link awakens the windfish and awakes from his dream.
(I think the GC Zelda goes in here, though I can't be sure.)
Then comes Zelda I where Link must recover the Triforce of Wisdom that Zelda has smashed, and then Zelda II where Link must awaken the Long-sleeping Zelda from Centuries ago.
In every Zelda, there is a different story. Usually, you still have to rescue Zelda, but there's a different story behind it.