Using Kibana in a web app

Is it possible to insert a kibana chart into a custom web app, on a whole different server?

I imagine a page with some records on it.
Maybe a small section to display some Kibana charts.

Anyone try this?

Kibana does provide share urls for embedding both dashboards and individual visualizations. It looks something like:

. In Kibana 4.x it's accessible via the share icon.

What about a REST request to Kibana?
And retrieve the chart?

Not currently possible, the chart itself is rendered on the client which requires large chunks of the application (angular, d3).