Yes, absolutely. The driver cones are very stiff to start and are designed to flex with the output a bit over time. Usually this takes anywhere from 100 hours to 300 hours to sound best.
Most crossovers have capacitors that also need approximately 50-100 hours to break in, as well as some time for electrons to flow through any coils.
100 hours seems to be a pretty sweet spot to gauge how something is going to sound, but I’ve heard both drivers and electronics take anywhere from 50-400 hours. My tip for break in is to run Brown noise loops continuously on low volumes, even overnight. They are a bit softer on the highs and will pose minimalrisk on frying tweeters.