Delaying a boil can risk a possible infection.
If you have space, you can refrigerate unhopped raw wort in a covered or sealed container and boil later if you're careful. I typically lauter, collect wort, and boil immediately. Boiled wort with hops can last longer than raw wort because it is sanitized by heat, reducing possible vectors for spoilage.
I've done some unconventional things with my beer ... like covering the boil kettle with cellophane wrap and poking a vent hole or two in it, then putting the lid on it as it cools in a slushy snowbank for a couple hours. At the time I was shoveling a driveway and took advantage of the February storm to get a brew day in. The kettle was a 5gallon pot with no valves so no contamination could get in unless the lid was upset.
Beer turned out great, I'm drinking that batch now ...