Nope, Even if you go to Settings -> cookies then delete the cookies one by one. The cookies just come back magically. I completely stopped using Chrome for this reason.

Wow, that is pretty shitty. Given the number of times over the years that I've had to wipe all Google cookies and site data to fix issues with offline mode in Google Docs, this does not bode well for being able to use Chrome successfully to access even Google's own services in future.

yes, you can. google cookies are being rewritten until you logout. once out, you can remove the cookies. once you re-login, the cookies come back. basically they've added a step: logout before cookie removal.

They can: You have to sign out of your Google account. Afterwards you can delete the cookies in Chrome and they will actually be gone.

You can clean out ~/.config/chromium/ in a cron job or in a wrapper script around the chrom{e,ium} binary.