Sure, but pachyderms are a polyphyletic group that doesn't match with genetics.
https://en.wikipedia.org/wiki/Pachydermata
Elephants cluster with hyraxes, manatees, and dugongs.
Hippos are closer to whales, dolphins, and porpoises than any is to elephants.
Rhinos are closer to horses and tapirs than any is to hippos or elephants.