There must be some Hyatt properties with spas that offer spa packages including a basic massage. This wouldn't be for all guests, but only those who book the special package (more expensive) rates.

You might look for Hyatts that participate in FHR and check whether the special amenity with the FHR rate is a massage at those properties. It is for a number of FHR properties, but I've never had reason to check specifically for a massage benefit or to notice which of the FHR massage amenity offers are for Hyatts.