No, I don't think you can log in. Unless fauux is using a javascript encripted page, you can't do logging in on neocities without PhP.
following abandoned websites can be fun... especially if it is a ccool site, you never know the webmaster might come back someday.
what if i were to tell you that this site wasnt defunct? what if it just migrated into a new domain ?
I follow websites as a way to bookmark them. It's still a cool website, regardless of when it was last updated.
https://bugmenot.neocities.org/fauux-update.png
https://mace486.com/fauux.html
oh