Yes, it does. That's exactly what it says. The only issue is what was meant by the phrase "regulate commerce."
If you mean to assert that the modern meaning is much broader than the one intended by the authors, then I agree.
It says it can regulate foreign commerce...it specified foreign.
I stand corrected, it does say foreign nations, and among the several states, and with Indian tribes. Still, the founders intent that it only prevent states from imposing tariffs on other states can be found in the Federalist Papers.