It would be a product of nature if its atomic make-up was comprised of particles of nature, so yes, very likely it would be a product of nature
A book is composed of natural ingredients except for the ideas and thoughts communicated in organized sentences, paragraphs, with rules of grammar, etc. Where did the ideas come from? An author! They just didn't evolve.
Likewise, life has order and design, it did not just evolve. It must have a Designer.
Chance has no power, no mind to order, change is nothing, ignorant and likely only exists in a game. Nature doesn't have a mind to order things or make choices; yet the TOE leads you to believe that nature has this collective unconscious mind that picks and chooses beneficial mutations over time to build an organism, guide it through an evolitionary process to result in a kind of organism, plant or animal. Absurd!
So in comparison, to say that life itself and all natural organisms within nature appeared by chance is like saying an explosion in a print shop produced the 30 plus volumes of the Encyclopedia Brittanica.
humans themselves are part of nature
No, nature was created first, then humans were God's crowning achievement. Nature could exist without humans, has existed and has flourished without us for thousands of years.
anything they do or produce is by definition also a part of nature.
No, thoughts, ideas, emotions, love, hate and basically our souls and spirits are not part of nature. We were nade in God's image, which means we have a rational mind, emotions, volition, creative abilities far beyond any animal, distinctly separate from the animal kingdom. Animals just function and are designed to do basic things in order to live, eat, produce, in their unique ways. We can train them to do and perform human-like tasks, learn a couple hundred words, but do we find genius apes creating and performing Mozart, talking, readind or building Rockets? lol the smartist of animals may have equivalent intelligence of a one year old child. But a two year old ... emmm ... not likely, but the claim has been made.
Nope, impossible. Nature could not produce a one -celled animal. If you magnified it a billion times, you would find thousands of factories producing amino acids and proteins with photo-copying devices that duplicate and grow molecular structures, error correcting, DNA deciphering machines that receive information, decode and process that information, organize it to produce these amino acids and proteins, but not life itself. Life is not produced, only created by God. But overall, these components, molecular structive and processes are irreducible and could not have evolved by chance. It is said that the flagellum of a paramecium is more complex than a 747.
We are all made from the same stuff.
Physically yes, not mentally, emotionally or spiritually.
How did Moses, who wrote Genesis by God's inspiration _ word for word _ know we were made from the dust of the earth (dirt of which has 17 elements that we possess)?