I actually repurposed an old Kindle to do just that, via kindle-dash[0]
Every 15 minutes it makes a cURL to an endpoint that gets my agenda, some news headlines, the weather, etc., and uses Puppeteer (I think) to return an image for the kindle to display.
I've personally only tested it with a Kindle 4 NT. I haven't had any reports of people using this on other Kindle devices, but in theory it should work as long as the device is jailbroken.
I had no idea this existed but was off writing something similar as well. Glad to see a public project repurposing old hardware. I think there's a large potential userbase if PW support eventually get's added.
Every 15 minutes it makes a cURL to an endpoint that gets my agenda, some news headlines, the weather, etc., and uses Puppeteer (I think) to return an image for the kindle to display.
[0] https://github.com/pascalw/kindle-dash