For example, if a med causes more drowsiness, it makes sense to take it at
night, whereas if a med causes an increase in anxiety, the
morning makes more sense.
I think trying to adjust the dosage time is totally reasonable, and you may find that it's more helpful when taking it at a different time. Definitely ask your doc first, but it shouldn't be an issue. Also remember to always take the Prozac as close to the same time every day as possible.
Good luck, keep us updated!