Quite so actually. Trek has always had music as an element, whether than be Spock’s lute, the Enterprise-D crews stuffy classical obsession, the DS9 crews lounge music, Seven and the Doctors singing lessons in Voy, Mariner and Tendis shared love for Klingon hardcore punk, etc. A full episode seems like it was inevitable.
A few years ago Dan Abnett managed to pull of a musical issue of his gritty space western comic Lawless set in the Judge Dredd universe, complete with a recorded cast track to listen to while reading. If that worked, Trek can totally do it.