Amazon does have a feature where you can pick a day of the week to get all your packages. I don't believe people really use it though, because what's the incentive to wait longer?
When I tried this I was hoping there was some reduction in packaging associated. At least for me, it was just all the same boxes on the same day, instead of one big box, or something reusable/returnable like Fresh.
I'm fairly surprised Amazon doesn't incentivize its use outside of that use case, though. It's presumably cheaper for them to deliver a week's worth all at once, labor wise, and they already do $1 Kindle credits for slower shipping.