Is it possible to move the conversation session from an echo device to the user's phone?
Thanks for your post!
This is not natively supported but thanks for the great feature request. I'd suggest posting this as in the Uservoice page for Alexa over here.
However, you could handle this by implementing session persistency, but you will still have to stop the skill on the Echo device and resume it manually (i.e invoking the skill) from the phone.