Only people with a strong life force like the Uzumaki or Senju could do it and i don't think we've seen anybody else in Konoha with a strong enough life force like the uzumaki or senju to take in a bijuu. I meant that the rinnegan is no clan's power, it can only be unlocked by ashura or indra or their successors.
Their genes make them compatible for bijuu, the bijuu may not be specifically for them but their genes allow them to be able to become a host of a bijuu. But either way, whether it was in their genes to be able to unlock something or not, it doesn't change the fact that EMS requires another person's power to get, it doesn't matter if that person is within the same clan, it still means taking another persons power. So therefore it is not their birth power or original power.