I have been curious on what it would take to do a Contact like signal fake. Would it be possible for a satellite to be launched into a direction in space that for all intensive purpose make it look like it is coming from somewhere else further away? Would it be easy to tell that it is originating much closer than what it is simulating? How far would it need to be away from earth before it was believable, and then would the fact the signal's source is constantly moving futher away be discernible from the signal itself? Basically, think along the lines of a fanfic premise told from Michael Kitz' perspective.
Anything is possible but it would be very hard. You would have to fake the doppler shifts. With massive scrutiny you might even have to fake some absorption lines. Then, if the signal was longer than a few days/weeks, you would need to place the emitter far enough away that parallax, relative motion against the stellar background, was undetectable. That distance is probably measured in light-years.