Is it possible to live in the 21st century without producing any waste? In permaculture, any unused output is considered waste. If the output is unusable or dangerous, we probably shouldn't be producing it in the first place. If it is usable and we use it, it isn't considered waste anymore.
Permaculture aims to connect inputs and outputs so that different elements meet each other's needs. For example, if you save your kitchen waste and put it into a compost bin, you can make compost that can then be used to grow crops that you can eat. You save waste (kitchen scraps that produce methane in landfill sites and need transport to get it there), reduced external inputs (you don't need to buy compost), and increased yields (better soil, more crops, more worms.)
So the way to achieve zero waste in permaculture is by following the refuse, reduce, reuse, repair, recycle, upcycle, and re-design protocol. These steps are the easiest. All you need to do is refuse to purchase items that produce waste. For example, refuse to buy prepackaged products; instead, get loose items and put them in your own long-lasting reusable bags. A good place to find fresh loose produce is at the farmer's market, where you are also directly supporting farmers. Farmer's markets often have everything you need, bread, cheese, fruits, veggies, milk, preserves, and the list goes on!