No. That's not enough. Unlike Mario, Zelda does revolve around story these days. Long ago, back in the NES era and to a lesser extent in the SNES era (although aLttP was already beginning to formulate the basic elements of a story), it may not have, but ever since LA, one of the driving forces of Zelda has been the story. Majora's Mask would have been rather pale without the story, Ocarina of Time would have been downright dull, and Twilight Princess would have been unplayable.

But Zelda cannot have a driving story when all the previous game control what it does so much. All the first games of any pairing (OoT in OoT/MM, tWW in tWW/PH, etc) have to contain Hyrule, have to contain Princess Zelda, have to contain Ganondorf. Zelda is the same character almost every time, as is Ganondorf. Zelda has no threatening to villain to drive you on, has no character you want to save, because you've killed that villain so many times before, rescued that princess so often she just starts to piss you off.

If you want a story-less Zelda, or a Zelda with yet another awful retelling of the same old plot, why not go back and have fun with tLoZ for the NES? As for me, I'm going to look to the future.