Skunks belong to a different family than honey badgers. They both belong to the same superfamily, though, which is Musteloidea. So they are not super closely related, but they are somewhat related.
Honey Badgers and Stink Badgers both use their scent glands for defense but both animals belonged in separate families Honey Badgers belong to the family Melidae while Stink Badgers belong to the family Mephitidae honey badgers and true badgers also belonged to the superfamily Musteloidea making them most closely related to weasels, martens, and otters while skunks and stink badgers both belong to the superfamily Procyonoidea making them more closely related to raccoons, red pandas, and coatis.