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Yes, it's possible, but with significant limitations. Android 4.4 (KitKat) came out in 2013 and is really outdated at this point, so Google's official Play Store no longer supports devices running this version. If you try downloading apps from the Play Store on a KitKat phone, you'll find that many apps simply aren't compatible - developers stopped supporting such old Android versions years ago. The apps that still work are ones that were published before around 2017-2018, before Google started requiring higher minimum versions.
If you still want to install apps, you have a few options. The first is to look for older versions of apps directly on sites like APKMirror or APKPure, where you can find archives of previous versions that still support KitKat - but obviously you need to be careful about security risks. Another route is using alternative app stores like F-Droid, which hosts open source apps and sometimes maintains versions compatible with older Android versions. If you have APK files already downloaded, you can also install them manually by enabling installation from unknown sources in the settings.
That said, I'd really think twice about it. Android 4.4 hasn't received security patches since 2015, so it's exposed to serious vulnerabilities. If you're only using the device offline or for non-sensitive stuff (listening to music, reading ebooks) it might still make sense, but for anything involving the internet, accounts, or important data, it's a real risk.
It depends on which app you're looking for! The official Play Store doesn't list them anymore, but you can try searching APKMirror or similar sites - pick the older versions compatible with KitKat and download them directly as APK files. The only thing is to be careful about security, because 4.4 is so outdated that it gets zero security updates. If you really can't find the right version, a lot of apps have had legacy releases on GitHub or community-made alternative sites.
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