No, but, the Magic Kingdom does their big July 4 show on both July 3 and 4th, allowing you to see the MK show on the 3rd (same exact show), and then see Illuminations on the 4th (and if you are at the front of World Showcase, you can also watch MGM's July 4 show, which is normally 1 hour before the Epcot show.
That way you can see all three shows.
From the front of World Showcase, you can also see the July 4 show they do at the Wide World of Sports.
So, that makes 4, July 4 shows you can see in two days.
I just wanted to add that if you're ever able to catch the fireworks tests they really are quite a spectacle!
We've been lucky enough to see them twice at Epcot while staying at the BW & all I could say was WOW!!! They woke all of us up out of a dead sleep & went on for what seemed like forever!
I agree that the tests are quite spectacular themselves. In mid December, 2004 my DW and I were staying at BWV and heard the NYE fireworks test begin at the back of World Showcase at about 11:00 PM. We watched the show from our balcony that overlooked the BW driveway. It was quite a finale! You could hear quite a few car alarms going off after the show.