It can set the minimum standards of right and wrong. But there are many different possible ways a peaceful and cooperative society might function. Beyond the ABC's of right and wrong described above, necessary to the cohesion and cooperative functioning of any group, cultural relativism would seem to be a serious contender. There is one standard that is favored by natural selection, and thus would be expected to be used by the vast majority of people, consciously or unconsciously. That is the ethics of Health.
Human beings are a special case in at least two ways.
Reproductive success is the goal that almost all living organisms pursue, because they follow their internal urges uncritically. Their internal urges are shaped by natural selection, and inclusive fitness is what natural selection selects for. We have our choice on that. We can, and do, override our internal urges by our will. Under the influence of religion, we can talk ourselves into lifelong celibacy, even mass suicide.