Serious answer, it would be extremely difficult.
The Shuttle gives off a unique double boom, caused by its rather blunt structure and high speed. The shockwave is known as an
oblique shock, and it always starts at the nose of an aircraft, and the shock front takes a conical shape, where the air inside is moving with the aircraft, the air outside moving at ambient speed -- the shock front itself is the discontinuity, and the air moves at totally different speeds on either side. That's what a shock is.
Now, the conical front has an angle determined by the speed. This angle takes some work to
compute, but generally speaking, the faster the aircraft is moving, the narrower the cone. This is important for design, because you don't want any of the aircraft to lie outside this cone. If it does, it greatly increases the drag and the load on the structure. This is why the faster an airplane gets, the more swept back and narrower its wings, until you have things like the SR-71 that resembles an arrowhead more than a typical planform.
The Shuttle, however, doesn't really care about drag so much because it spends most of its performance outside the atmosphere entirely. As it descends, starting from extremely high speed, a good chunk of structure does in fact lie outside the oblique shock coming off the nose, and this sets up a second shock wave, approximately 30 meters behind the first one. This distance translates to a time delay on the ground, and thus a double shock is clearly audible, occuring about 0.08 seconds apart (or more, depending on temperature at altitude).
Modern fighter aircraft, on the other hand, only produce single shocks -- any additional shocks thrown off by structure are weaker, lying within the primary cone, and will be closer together to the point that they will combine with the main shock at any appreciable distance from the aircraft. To get a double boom, you would have to fly a pair of them in close formation, which could be done, I suppose. However, this would be easily detectable by observers with binoculars, and it would have to fly directly over heavily populated areas (the Los Angeles basin, and Orlando Florida, respectively). Good luck with that.
There is also the magnitude of the boom to consider. The Shuttle dives quite steeply at extreme speed and thus makes a particularly loud boom. This is quite different from the boom from fighters -- much more of a rumbling, earthquake-like shock than the simple
*SNAP of a lighter aircraft, one that is trying to avoid drag and compressing the air much less.
So, in closing, to replicate the double boom, you'd need a different vehicle or series of vehicles with similar performance. I never got to hear the
XB-70 Valkyrie at full tilt, nor does the Concorde or SR-71 fly any longer, so I can't imagine what that might be. This mystery vehicle would also have to look like the Shuttle, and follow its same route. In short, if it cracks like a duck, it probably is one.
