... I don't think it's possible to get away from any of that stuff regardless what you do or don't do in a backyard garden....
I very much disagree...respectfully.
For decades now I have raised well over 90% of the veggies my family consumes every year...all without chemicals and most of which is consumed fresh. I also have raised beef for food and compost that grazes on chemical free grass. Fish for food and occasional compost from 5 different ponds/lakes which I built and stocked that contain millions and millions of gallons of pure rainwater. Again, all without chemicals. At times, we've had chickens, off and on, and when off get our eggs from organic neighbors we trust. Our closest neighbor is about a mile away and lives on property we sold them, very selectively I might add.
It is not only possible but very doable to get "almost" entirely away from that "stuff" within the limits of this Planet. The reward for me is "taste" and the belief that this approach leads to a healthier daily lifestyle for myself, my family, and those that live "downstream and upstream" of me.
My garden soil routinely tests out "No N P K required" and above 90% on the nutrient density score. Water comes from collected rainwater and deep wells which have water filtered through hundreds of feet of sand and materials. The rainwater has no factories within at least 50 miles to pollute the air that the water comes from.
None of this is "bragging" simply stating the facts on a lifestyle that is very doable even in today's environment. It can't be achieved overnight, but the journey has been the stuff dreams are made of.