No. I mean "how"?
Take a simplified model of DNA and genetics to make the discussion simple:
You have a single strand of genetic material that codes for an organism. Its like a recipe or blueprint or computer program. Different parts of it do different things.
To adapt your organism to a changed environment, you have either to edit one of the parts, or to swap one of the parts out with a different sort of replacement. For this to be done on purpose there has to be some biochemical editing machinery. Now we have found some machinery that resists changes - restores damaged DNA to its prior state. We have not found any such machinery that encourages modification to DNA.
So again, how?