Well, actually the KC
-135, E-3, etc. have a hatch that is blown out inflight for a manual bailout. But you go out the bottom of the aircraft, not the side, you have to manually open side hatches for that.
But, Poadrim is correct, this cannot be done with what we have today, and I doubt very much it would be done with the POTUS on the first attempt at it.
One of the airport movies (Airport 77?) did something similar, except they were trying to lower a tanker pilot into the opened hole in a B-747 from a HH
Hollywood has a very good imagination.