There is no law of chemistry which provides that random elements will come together to form living cells, your declaration of faith notwithstanding.
Ahem.
There is no known law...
150 years ago, there was no known law that would allow man to build and successfully operate a heavier-than-air vehicle.
Ditto for radio, television, etc.
Your description is of abiogenesis, not evolution. Chemistry may do such a thing in the correct environment, but we don't know that. But evolution does use such chemistry, and is known from many different examples in the data to be true.
I'm sure you knew that. And I'm equally sure the lurkers could tell by your careful wording that you knew it as well.