Different words for incoming and outgoing delivery

It can be context dependant.

Imports and exports are words that have the specific distinction incoming and outgoing, however they refer to things transported to/from another country. In an airport or train station, Arrivals and Departures have the distinction.

But in the context of say, a company with freight, Deliveries or Arrivals would usually refer to that which is incoming, and for outgoings it could be Despatch. In context, Unloading and Loading might be used to refer to the areas, teams, tasks etc. that are related to incoming and outgoing deliveries respectively.