We don't see the stars during the day because of the really bright fucker ~93 million miles away lol. In seriousness, yes if the day was dark we would see the stars, as the seasons change the constellations do move and depending on where you are on earth you'll see different ones. We wouldn't really see a different part of space because it's technically moving with us around the center of our galaxy (the part of space in the galaxy that is). At least how I understand it