no, the number system doesn't say where the fingers go but in a way that simplifies things.

For instance I play my movable 7th (G7=3X343X) thumbed over but my friend plays it "properly". It's funny how many times I stumble at someone's explanation of their fingering only to realize they are describing a chord in my current vocabulary (that I might have recognized easier with the numbers).

rabbit trail over

JH