Yes. It is important to note that insulation cannot be arbitrarily added to a fired rated floor ceiling assembly that was tested without insulation. The use and location of insulation in the assembly can dramatically affect fire performance because insulation traps heat (even if it is being used for sound purposes) and can cause premature failure.
USG has UL-tested assemblies where insulation is installed directly on the back side and supported by the gypsum board. Other drywall grid systems do not have this feature so careful selection is important.