A number of packages are available in the AUR here - https://aur.archlinux.org/packages/?O=0&SeB=nd&K=brave&outdated=&SB=n&SO=a&PP=50&do_Search=Go.
There do, however, seem to be some sandbox issues with Brave. There are ways to get around it, but I’ve also seen discussion on the fix not necessarily being secure. I’m not an expert on Linux, so I had some trouble following the discussions.