No, the comet stays almosf stationary to the stars during such a short time. Hence, it is in every image and therefore also in the final median image.

For average astrophotography satellite trails are not really a problem as it may seem here. Almost any image is processed in such a way in any case. But there are special projects which are heavily impacted, for example the search for asteroids. There you need to look at each individual image, as fast moving asteroids would be deleted with this method.