Is that an appeal to the "good things are from God, bad things aren't" framework?
I'm generally what's known as an "apatheist", in that I'm not all that interested in gods and arguing about whether or not they exist. I see the question as largely irrelevant.
Specific to your question, to me it's no different than asking "Do you think a god could have caused that leaf to fall?" My answer would be along the lines of....yeah, I suppose it's possible but I don't see any point in the question. We can ask that about any event, and given the nature of gods (as defined by those who believe in them), there's no way to tell either way, which IMO renders the question irrelevant. The leaf fell, the mutation happened....whether or not gods were involved doesn't change that.