There are a few exceptions. Patagonia and several other companies have worked hard to use organic cotton products. But this is mostly resort wearnothing that is going to work in Anchorage in January. Garmont makes a leather-free boot called the Vegan, but it's as organic as a piece of polyester, with Cordura and polyurethane as its main materials. And, of course, several outdoor gear makers use wool in their productsnotably, Ibexbut they don't make any claims that the sheep from which the wool is sheared are raised in any "organic" fashion. Wool, at least, is a natural fiber, so I suppose there is that. A few European companies also make shells of cotton (Norrona is one), but again, it's not necessarily "organic" cotton.
Beyond that, I know of NO packs, sleeping bags, or tents that are anything but 100 percent artificial, usually petroleum-derived: nylon, aluminum, polyester, in one formulation or another.
Anyway, I wish you luck. I don't want to dismiss your aspirations, but I can't help but think your energies are best directed elsewhere.