“Lone wolf” is actually a misnomer, because wolves are social animals that live in packs. Ditto for dogs, which are descended from wolves. But cats, of course, are basically solitary animals, and this is true not only of house cats but of all wild cats as well.
The one notable exception: lions, which live in groups known as prides. For all other cats, single is the name of the game, and male and female come together strictly for mating.