This service will operate in a similar band to Starlink, which requires a pizza-box-sized fixed receiver with a clear view of the sky. And SpaceX was only able to get it even this small due to development of new phased-array antenna technology, which, at least as far as we know, nobody else has replicated (at least at a consumer-accessible price point).
All of which is to say: current technology, and physics, probably won't ever allow this to be baked into a Kindle.
All of which is to say: current technology, and physics, probably won't ever allow this to be baked into a Kindle.