It could be, but often we actually leave both out and just ask er du elev eller lærer?
As I was taught, all professions are without an article. No "en". Other than that, if it's about a person, its an "en" and almosr never an "et".
That sounds like both a tongue twister and a compliment to a youthful looking teacher. :nD
I actually had that situation. I was substituting for a high school teacher and the kids got really worried that I was a new student and that i would get in a lot of trouble with the teacher for sitting at her desk.
Master at electrical but student at Danish. Meister til electrik men studere til Dansk. Godt?
Umm.. electrical what? I guess you want to say you have a master's degree in electrical engineering and are a student/learner of Danish, no? Let's try it with
"Jeg er kandidat i elektroteknik men studerende i dansk." (eller "danskstuderende")