Yes. The graviton in question would be a massive partner to the ordinary, massless one. You get those in Kaluza-Klein style theories with extra dimensions [1],

Yes. The graviton in question would be a massive partner to the ordinary, massless one. You get those in Kaluza-Klein style theories with extra dimensions [1], so they are often referred to as "KK gravitons". [1] https://en.wikipedia.org/wiki/Kaluza%E2%80%93Klein_theory https://en.wikipedia.org/wiki/Kaluza%E2%80%93Klein_theory