Space burials [1] are a thing. When I investigated this, I found that in Germany the cremation industry is against separating remains, i.e. don't bury a part on Earth and another on the Moon. I'm not aware whether a legal background exists, but at least some might consider it as morally dirty (though I doubt people would really complain over here, but in other cultures people might react stronger). So it depends on your country (culture, jurisdiction) whether it's a viable business case.
[1] https://en.wikipedia.org/wiki/Space_burial