Yes, although then you have a lot more traffic to deal with. A typical garbage truck moves slowly down a city block, preventing a line of cars behind it from moving. Every change will upset some constituency, and their various needs need to be balanced. Life in the city!
The comment was less about the specific time and more about "see how other cities solve this". I get that it's a complex issue, but also many issues around it are self inflicted/imposed.
Some Sydney councils for example rotate the routes often to avoid one place getting a 3am pickup constantly. (it's stretched until midday or so) And that's before getting to the part where the traffic itself is a problem and how is emergency response supposed to work in a place that can't handle a garbage truck.
