>> 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?

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.