Some people might have a sensitivity to those oils, but they don't typically cause clogged pores. Jojoba can actually help keep pores clear. But some other oils that can be used on the face: hazelnut, emu, macadamia nut, sweet almond, grapeseed, apricot kernel, camellia, evening primrose, borage seed, squalane, and the list goes on. None should cause clogged pores, although you have to keep in mind that everyone is different & there can be the occasional person who has an untoward reaction.

Of course, you also have to consider all of the other things they use on their faces - one or more of those could contribute to the clogged pores.