While not exactly like Pocket, there are services that can send web articles to your Kindle. I work on one called Push to Kindle: https://www.fivefilters.org/push-to-kindle/
Thanks. We already have extensions for most popular browsers: Chrome, Firefox, Safari, Edge. Links at the URL above. As well as an Android and iOS app.
The overdrive and epub support was the reason for me buying the kobo even after already owning a kindle. Still worth it just for the overdrive support.