Uhm... if the building blocks of life are not in themselves alive, then you're contradicting yourself saying that there's no evidence that inert (non-life) chemicals (the building blocks of life) can't produce life.
Biology, biochemistry, genetics, and so on are all dealing with actual, real, natural, physical, chemical components that are in themselves and independent from the system, all non-life, while together, as parts of the system, are alive.
Put it this way, what is your body made out of? And how do you keep it alive? Do you eat alive things? So when you kill the cow, cook the meat, and steam the potato and basically kill it, then it's all dead, and you eat it, and you're alive from it. The line between living and inert matter is a blurry one. There's no clear point where a virus or bacteria is either dead or alive.