Is it possible and should I do it? Because I just did, I couldn't get past the login screen. I input the password and press enter, nothing happens. It doesn't budge.
It sure is possible, but both / and /home will need to opened, either with a key or passowrd, and mounted. There are several possibilities for this.
This article shows one: https://wiki.artixlinux.org/Main/InstallationWithFullDiskEncryption#First_Boot
On the Arch wiki there are articles on alternative strategies.