I would have said no, but in the Movie “Solo”, he watches an Imperial recruitment commercial, and something that sounds not-quite-but-pretty-close to the Imperial March, is playing in the background.
Of course, this assumes that brass and string orchestras exist in the Star Wars universe, which I don’t think is an unreasonable assumption.
There are many in-joke references like that in Solo, some may say too many. They transposed the Imperial March to a major key so it didn’t sound menacing and evil, and instead encouraging and upbeat. My sound system isn’t good enough for me to hear it very well, though, so every time I’ve watched it goes right by me unnoticed.
The opposite problem applies for the Old Republic theme. The music sounds wistful and nostalgic, which is perfect for how it’s used in the original trilogy. But then it got used all over the place in the prequels, when the Old Republic was just The Republic, and it was out of place.