Yes, short version is
> Get the Twitter Media Download extension/add-on for [Chromium](https://chrome.google.com/webstore/detail/twitter-media-downloader/cblpjenafgeohmnjknfhpdbdljfkndig?hl=en) or [Firefox](https://addons.mozilla.org/en-US/firefox/addon/tw-media-downloader/)
Long version is https://furbooru.org/forums/dis/topics/better-twitter-browsing-and-uploading
(mind that that guide is directed mostly towards media, but the extension should download text only stuff as well if you want it to)