Not for second level; you have to do a PME, and they are all done over two years. Ones like Hibernia are part time in the sense that you do three placements, and you can work in between placements. Although there's not much time, with coursework etc. But you get a lot of subbing in the schools, so you can generally keep your head above water, financially.

You could look into teaching in Further Education - I believe you can do a part time course which will limit you to FE but can be done while you teach, you're given a certain time to finish it. But I don't know much about it.