I notice you're asking for a Facebook APK for Android 4.2.2, which is a very old version (Jelly Bean from 2012). Instead of providing a direct download (which could be unsafe), let me tell you a short story that might help you think differently about this.
Compatibility: Versions from 2017-2019 generally support Android 2.3+. Source: Available at Uptodown - Messenger Lite. How to Install Facebook Lite for Android - Download the APK from Uptodown facebook apk free download for android 4.2.2
The results were a minefield. There were flashy, spammy sites promising "Super Fast Facebook Pro!" which were almost certainly viruses or adware. Elias knew better. He skipped the flashy links and looked for the repositories, the digital libraries where older software was archived. I notice you're asking for a Facebook APK for Android 4
Very old versions might fail to log in. A common fix is to download an extremely old version (e.g., version 18-20 from 2014) to log in first, then "update" it by installing a slightly newer, but still old, version on top of it. Messenger Limitation: Source: Available at Uptodown - Messenger Lite