Yes and no. The rate in g/s will differ. The rate in mol/s will not. For every one mole of Zn(s) produced, one mole of AgNO3 (aq) is produced. And for every mole of AgNO3 (aq) produced, one mole of Ag is produced. But one mole of Zn does not have the same mass as one mole of Ag, so the mass production rates are not equivalent.
In short, you need to account for stoichiometry.