No, but your FC needs to me high enough in the morning so that your FC never gets out of range by the end of the day. And certainly never below minimums.
The calculated amount of time
Yes. Re-read my first response above. Let's say your CYA is 50. Your target is 6-8 and minimum is 4. If you run overnight and in the morning, your FC is 8. Then you have sun and swimmers and your pool uses 4.5 FC during the day, your FC will be 3.5 at the end of the day, below minimums. Not good. You need to produce enough FC during the night so FC is high enough to handle the FC demand during the day and stay within range. Make sense?
Do you know how much FC your pool consumes during the day?