No, Roblox is not shutting down anytime soon — neither in 2022 nor in the foreseeable future. No such statement has been made by the company responsible for the platform. So you can rest assured that you will be able to continue playing the games you enjoy in the game without any worries.
Speculations about it shutting down began because of fake news that started spreading on social media out of nowhere. If you’ve come across any such articles, just don’t believe them. In fact, don't believe anything you read on the Internet that doesn't cite official sources. You can continue playing your favorite games on it whenever you want as it isn't going anywhere anytime soon.