YES! With just a click of a button in the imp app, your imp can turn into an answering machine.
In that mode, when a Greenlist person calls, imp will let your home phone ring for a predetermined number of rings, and then simply pick up and take a message.
It will then deliver that message to your smartphone app. This allows you to stay connected, even when you are not home.
For more info on answering machines, check out this article: Answering Machine Settings