Yes. I think we don't have to invent big plots (except if something develops organically), but I can't imagine that there were no contact points at all between dwarves and the other children of Illuvatar in that time. Between elves and men, there aren't that many contact points either, but it is a very important subject how they interact & connect. Some of the biggest stories in all of Éas history are about that topic. Now I'm not suggesting that we need to have lots and lots of man-dwarf romance stories on-screen to compensate (although; interesting question if that happens at all in the thousands of years, and if yes if it is as big of a deal for the communities in question as a beren & luthien story) but I'd like to have a hypothetical viewer be aware of the dwarves and see some of their interactions at the edges of our "narrative focus", even if at the moment they don't actively enter into it.
So yes, who would that be? We have of course the Longbeards in Khazad-Dûm, the Iron Hills and the Grey Mountains. The Firebeards and the Broadbeams live Belegost and Nogrod, but it's not clear if they're separated, live both in both cities or if belegost is longbeardish after all and they both live primarily in Nogrod. (there could be some twin-city drama there in any case, rivalry, allyship, etc.) There are dwarves in the east (the remaining 4 tribes, somewhere vaguely in Rhûn, but tbh, just outside the map, they might as well be in Harad) which we could bring up whenever we get to looking at the east & south (blue wizard storylines anyone?
) They could be partly corrupted, partly one of the sturdiest parts of the "resistance" against Saurons activities in the east (this is just me daydreaming) .