There’s no direct integration possible at this time. 
You could get a very limited partial integration which would allow you to lock or unlock only (not add new codes or anything like that) by using echo as a “man in the middle.“ But it would be awkward, clunky, A pain to set up, and again only a partial integration.
Basically you would have to set up a second speaker device (typically an android tablet) next to an echo and have the second speaker say the commands so that the echo will respond to those.
Like I said, doable, but clunky and a lot of work.