Well, lots of orchids can. Some don't do well mounted. I'd say the easiest list is the ones that do not do well: Paphs, Phrags, Cischweinfia, Dracula, most Maxillaria, Masdies., Jewell Orchids, etc. Probably there are some others like Cimbidium that won't do well mounted as well. Other than that, I'd try whatever you have and see how it does.