Actually, I think I fibbed just a bit. I'm thinking now that one or two of them aren't allowed because you need to beat the Water Temple before the Shadow Temple because Kakariko won't burn until the Fire and Water Temples are done. (I always get in trouble for that, thinking about it in terms of what you need in the dungeon and forgetting what activates the dungeon.) But I do know that you can do quite a bit out of order, like get the Biggoron Sword before even entering the Forest Temple (with a deviation into the Ice Caverns, though difficult without the bow).

"There are some who call me... Link?"

"Carpe Gaium Domesticum!" (Seize the Cucco!)
Zelda: The Grand Adventures | Triforce MUCK ザ行方不明リンク
悪いユウモアの賢人