Yes. Chrome is a free app. Google distributes the base APK for free. As long as you are downloading the unmodified, official version (not a “pro” crack), it is legal.
Google stopped supporting Android 4.4 with Chrome updates after Chrome 81. The final verified version for KitKat is: download chrome browser apk for android 40 4 verified
Google Chrome 81.0.4044.138 (or .138 APK) Google Chrome 81
On Android 4.4, this setting is located differently than modern Android versions. On Android 4
Note for Samsung users: Also go to Settings → Lock Screen and Security → Unknown sources.