Umm..no. Darwin was talking only about the origin of species (how is it that multiple forms of diverse life exist) and not the origin of life. He says his objective clearly in his introduction,the title of his book infers differently
"In considering the Origin of Species, it is quite conceivable that a naturalist, reflecting on the mutual affinities of organic beings, on their embryological relations, their geographical distribution, geological succession, and other such facts, might come to the conclusion that each species had not been independently created, but had descended, like varieties, from other species. Nevertheless, such a conclusion, even if well founded, would be unsatisfactory, until it could be shown how the innumerable species inhabiting this world have been modified so as to acquire that perfection of structure and co-adaptation which most justly excites our admiration."
Literature.org - The Online Literature Library
Your idea of usage of the word "origin" deviates from common English usage. When i am saying "this diamond originates from South Africa", I am speaking the truth even though all Carbon atoms in that diamond existed long before they were arranged as a diamond in some mine in south africa.
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