"My university does not offer an Astronomy major or minor. My current
major is
Physics with a minor in Chemistry. Could I reasonably follow up at
another
university's master's program under Astronomy? Would there be fruitful
job
opportunities with that combination?"
Yes, you could certainly follow up any good physics major with graduate
school in astronomy. We've had students do just that with a bachelor's
degree from my institution, which doesn't offer Astronomy as a major or
minor either.
An undergraduate major in astronomy is likely to be a merely cosmetic
variant of a standard physics major, anyhow. And chemistry is important
for understanding the composition of bodies like comets or interstellar
clouds. So you are on the right track.
I'm not sure (not being an astronomer myself) that there are "fruitful
job
opportunities" in astronomy per se. But physics majors of
all sorts have gone on to successful careers, not only in
science, but in math-related fields from actuary to stockbroker. I would
not pursue astronomy for purely mercenary reasons; but there's no reason
not to do so if you love it.
Dan Berger