There's a few different options for this (instead of "archived" it's called "completed").
The easiest is to just swipe the delivery out of the main list to the left but you can also select multiple deliveries at once and then choose "Mark completed" from the menu (three dots to the top right).
Afterwards, they will only show in the "Completed" category which you can access from the navigation drawer, e.g. by tapping on the app icon at the top.