UPS orders may not update until this afternoon. Most of the time the drivers don't start pickups until 2-3. Most likely they have a trailer at the warehouse that Verizon is filling. A feeder driver will go this afternoon or evening and pick it up and either take it to the hub to sort or straight to the airport for loading. It's nothing to worry about if you dont see UPS movement until much later in the day.
For example, next day air packages that we pick up at the center I work at don't leave our building until almost 7:30 at night, no matter where they are going. They go from our place to the airport then to either Louisville or Philadelphia to sort overnight and reload to the destination plane. Our next day air plane lands around 3-4 in the morning, then our guy gets his load and has it to our building by 7:45 and out for delivery by 9.