No the comic is pointing out that the sun and the earth are both orbiting the milky way galactic center.
Edit: While also true, I was wrong, they orbit the center of mass of the two body problem (earth and sun). I still think that’s too simple of a way to look at it. It’s not a two body problem and the other planets and the whole galaxy are also in play.
xkcd #2898: Orbital Argument ( imgs.xkcd.com )
xkcd.com/2898...