to go from G-minor to C-minor via a dominant, you'd have to turn G-minor into G-major and possibly add a 7th). Modulating from a -minor- key to its minor subdominant is similar, just that if you want to approach it with its dominant, you'll also have to raise your old tonic's third (i.e. It is also a very easy modulation to achieve, since by just adding a minor 7th to your tonic chord (in our example turning G-maj into a G7) you have already reached the a clear dominant chord of your new tonic. So yes, it's common and sounds perfectly "nice", although the latter is, as always, a purely subjective question. Modulating from a major key to its minor subdominant (for example G-major to C-minor) is basically equivalent to going from a (major) dominant to a minor tonic (again G-major to C-minor) and the latter, consisting of V-i, is of course one of the most common progressions of all.
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