Yes you can achieve this with Pocket or Wallabag, a FOSS alternative.
Wallabag also have an automatic tag feature that can add tag based on the URL, so it would be possible to make different reading lists as you suggested: https://doc.wallabag.org/en/user/configuration/tagging_rules.html
Seems to be the case of at least Biden, Trump and Obama’s bodyguards too: https://youtu.be/KX7f1PwXEWg