Games are not playing themselves. There is always someone doing the playing. Even if the game itself has no possibility of interaction with other players.
Look at another activity. Reading books. Even there you will have people gathering in book clubs or other activities sharing the single person activity of reading a book.
And for a digital activity that is even more easy. Like playing the game on a platform with achievements and bragging with your achievements to your online friends. Or, to yourself. Like a highscore.
So, no, of course not. Games do not have to be social. But some people will use it for social interaction anyway and will be glad for any support to do so. Even something as simple as easy screenshots, that can be shared on social media. Though on most games there do not need to be support for that, but the technical capabilites of users on average are not really good, so some would not know how to do that on their own.
There is also another group of people, that will loathe any forced social interaction. There are games that shove the "share your activity" and other meta things in your face. Among the worst are forced launchers. Account requirements for a single player game. And so on.