Is the Centre of Mass Dependent on the Distance Between the Two?

If you have two things that like, one is just a little bit smaller than the other, and one is big, but the smaller one is made out of something much more massive, or dense. Could the smaller thing end up being the planet that gets orbited by a bigger thing because it has more like gravitational pull? Absolutely yes. For example, if you had something orbiting a black hole, riht a superduper dense object, than the centre of mass of the s defening gong to be within the event horizon. Ye, it's trippy. I'm not sure if you would call that a planet or a moon, right? If you're orbiting a black