Sorry don’t know how to put up a picture, but if you know what an Optica looks like or can find a pic of it that was an aeroplane that used your thoughts. The Lycoming 6 cyl engine drove a multiblade fan that had a duct wrapped round it. This increased the efficiency of the propulsion system when considered in isolation.
Snag was the duct produced a large amount of drag (as unwrapped it had approaching the same area as a wing and what is more the V inside the duct was of course considerably faster than the aircraft speed, so increasing the skin friction drag even further).
After some years of development the designers reckoned they could have got more performance from the overall aircraft with a conventional layout. There were other disadvantages of the ducted fan from both piloting and engineering points of view but these were not related to your notion
(If you can’t find a pic, imagine a 747 engine pod without its engine. Then add a couple of wings each side and support a tail from twin booms. Stick a nose pod for the crew ahead of the engine and duct and there you go)