No you cannot pickup a package or packages from a FedEx sorting facility.
The FedEx sorting facility is just a larger warehouse building that the packages get sorted and then placed on the delivery trucks.
The only people who have access to the FedEx sorting facility are employees and so you cannot get your package there.
If the package arrives at your local FedEx sorting facility then you should get the package the same day or the next day.
Once the package says on FedEx vehicle for delivery today then you should get the package that day.
As long as your FedEx package is not on the vehicle for delivery today then you can have the package held for Pickup at a local FedEx facility.
You can pickup your FedEx packages at local Walgreens stores that participate in the FedEx services.
However if your package is already out for delivery today then you should get the package that day and not have to worry about it being held for pickup.
When FedEx tracking says on FedEx vehicle for delivery it means that you will get the package that day.
So if your package is coming through FedEx and the tracking says On FedEx vehicle for delivery today then you should get the package today.
FedEx delivers as early as 8:00 AM to as late as 8:00 PM in some places and so you should get your package between those hours.
There's no specific time that FedEx delivers to houses during the day and so you could get the package in the afternoon hours or later.
I get my FedEx packages around 2:40 PM here but the time can vary.
If the FedEx package does not require a signature then the FedEx driver will just leave the package someplace on your porch or somewhere around your front door