Are there such things as universal moral values?

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I once read an article where the author claimed that moral values are different for every culture, so no one has a right to criticize the moral values of other cultures because all morals are relative. Do you agree with this? I don't because I believe that there are moral values that are needed for a society to exist. For example, killing should not be allowed in any society because then members of the society would stop trusting each other. What would happen then, of course, is that people will isolate themselves because of distrust. This would then result in the destruction of society. Of course, survival would be then difficult if this would be the situation, so predictably, people will form small societies to protect themselves. But of course, people would only form groups with people whom they trust will not kill them. Therefore, prohibiting killing is necessary for a society to exist. I would cite more arguments for why we need universal moral values, but this post would be too long and no one would read it.