I mean, if you lie about what the Bible says, sure, can have it "make sense" to do whatever you want.
When people are against a literal description of events as stated in Genesis, the light issue is a big, if dumb one. Here are just a few.
1. Not just Sol was created on the 4th day, ALL of the stars were, so no, you can't claim the light was from other stars that are older than our sun.
2. The Big Bang didn't "create light" as described in Genesis, it wouldn't cleave a light/day divide like the Bible describes.
3. You are ignoring also that Earth is somehow older than the Big Bang as described in Genesis.
4. What scientific phenomenon would be making days and nights on Earth without the Sun?
So, yeah. People claim that a literal description as described by Genesis is just ridiculous as described, but even the "metaphor" or "claiming the order is right" or people talking about time dilation nonsense still can't get around the fact that the described events in Genesis not only don't match observable reality but they don't make any sense.