Yes. It is definitely possible to do a PhD part-time: many universities offer part-time PhD programs, and I know people who have done this. Doing it part-time

Yes. It is definitely possible to do a PhD part-time: many universities offer part-time PhD programs, and I know people who have done this. Doing it part-time and remotely is harder: even if a university allows this, an individual academic might (quite-understandably) not want to supervise a student on this basis. I do know of one person who successfully completed a PhD at London South Bank University whilst living in Canada: he traveled to London a few times for physical meetings with his supervisor, and had more frequent electronic communications with them. He also had the advantage that the subject of this thesis was related to what he was doing in his job.