The implication from the translation of Genesis 1 from the Hebrew refers to both the creation of the stars in the dome and the greater or lesser lights, which we can plausibly conclude are the Sun and the Moon (and the other stars). That light from the stars came on instantly, primarily because the dome of the sky was thought, at the time, to have a relatively close finite boundary.
This assertion is harder to make today, because scholars point out that we are pretty sure the Earth isn’t flat (which it also states in Genesis), and that the dome (if it exists at all) isn’t close enough to the Earth that, theoretically, you could bump into it if you travelled too far outward.
So, if we consider that the stars, the Sun, and the Moon are still out there, and a long distance away. Can we still put things in a biblical framework? Well, God being God, even if the farthest star is 12 billion light years away, He could have made it (at least at Creation) appear instantaneously.
The “problem” occurs when we look at the speed of light now, which can be reasonably and accurately calculated at 186, 282 miles per second, and add that the farthest star is 12 billion light years away. If the speed of starlight went from instantaneous to the known speed now, and if Earth were only 6000 years old, there would be patches of darkness in the sky where the distance to the star was more than 6000 light years away.
A condition we do not observe in the night sky.