I have never seen any convincing case for a "Universal Moral Law" and the fact that people disagree about pretty much everything, minus a few basic ideas, seems to me to suggest that morality is largely impressed on us by society, for better or worse. That said, clearly there are physical laws in the Universe that have constructed an environment for us to live in which we can thrive, pursue creative projects, experience health, happiness, and joy, revel in the relationships with our fellow humans, etc...and then there is the other end of the spectrum, where people live in constant fear and paranoia, of their safety, their reputations, their ability to trust their closest friends, etc...and it's pretty obvious which scenario most people would prefer. Hence, in that sense, morality is universal.