Yes they do. Both have Observation Haki. You could say that they both have Armament Haki because they each have different manifestations of their spirit (Zoro's Asura and Sanji's Diable Jambe) and Armament Haki is spirit, but this is really an assumption so take it how you want. Zoro may also be a Conquering King Haki user because in the manga (spoiler alert, sorry if you dont read the manga) he cut Monet in half and she was struck sa pamamagitan ng FEAR. This could hint at Zoro having the Conquering King's Haki.
They definitely have Kenbunshoku Haki, but whether either of them actively utilise Busoshoku Haki is really down to perspective... Whether the abilities they use actually utilise Busoshoku Haki is hard to say - it depends on whether you consider those abilities bolstered sa pamamagitan ng the Haki, or not. I also am open to the suggestions that others have made on this Question, too - though I don't read Manga, so can't say for anything beyond where the anime is currently at.
