The challenge to evolution is from the second law. There cannot be a decrease in entropy that evolution demands to allow single-cell organisms to turn into fish and people. It is possible for a local decrease in entropy to occur, but that requires work to be done and a mechanism through which that worked can be achieved.
Your first sentence contradicts your last, trying to have your cake and eat it to are we? Given the bold clearly there can be what you ask for, this therefore is a does or does not issue not one of whether it can or cannot.
A seemingly simple yet extremely important difference. It means you admit that it is theoretically possible, based on our knowledge of entropy, for evolution to have a mechanism/s that result in decreasing entropy. In fact we know this occurs, the work of the growth of a body represents a ever in entropy over an extended period of time. Here we have an example of life decreasing entropy that even you can't deny since it happened to you. (You've already been told by me and several others the mechanisms for evolution - which is essentially this plus reproduction)
Thus the question I posed is: "What mechanism allows information to be added to the genome?"
That is a separate question altogether and has little to do with the second law of thermodynamics. If you can find a reference to the SLoT and it's calculation of information then let me know.
Otherwise you need to provide a USABLE definition of information, preferably one that is already used by science and is measurable not the that unusable and unmeasurable invention of yours provided earlier.