XDA allows Facebook Home to run on most Android device without root
Best of all, this hack doesn't require that you have root access unless your device has Facebook baked-in. If not, all you have to do is download the modified APKs, remove Facebook and Facebook Messenger, then reinstall things in order. First, install the official Facebook app, then the modified Home APK and optionally Messenger. Enable Facebook Home in the Facebook app settings, reboot and you're ready to go.
Word from the XDA forum is that the apps work on a ton of different devices, including the Nexus 7.