honestly I don't think there will be, I haven't heard about anything like that nor read that people actually care about it, I just thought that it would make sense to see more kind of kids, like the game says, orcs and elves were there first and no sign of their kids, also, Khajit kids would be pretty cool too even if they are mistaken with common house cats, wich makes me think, why do they call them the cat-like people? I mean I know they look like cats, but I haven't seen any cats in Oblivion or in Skyrim, so, to me, they are the "normal" or "standar" for their race, and everything cat related could be reffered as "hey, that little animal look like a Khajit" because I haven't heard of the existence of cats in that universe.
Based on the phase of the moon when the Khajiit is born, it could be one of four "subraces" of Khajiit. Large bipedal, small bipedal, large quadropod, or small quadropod. With the moons just returning to Nirn, it is likely that the Khajiit became infertile for an extended amount of time, and I doubt any would bring a newborn cub to the icy regions of Skyrim. Even the older ones hate it because of the cold.
As far as house cats go, I think some things just have to be assumed. There are probably housecats in the rich homes, maybe Summerset Isles have them, maybe the Imperial palace has some.