Yes, most carriers will assign a unique tracking code (and shipping label) to each shipment in the order, and also a "master" tracking code for the entire order. Depending on who the recipient is they may want to watch the entire order from the single master tracking code, or keep an eye on each individual shipment.
It's not common, but sometimes individual shipments / parcels get separated from their orders in transit, so it can be helpful to have the individual tracking codes.
All articles belong to a consignment, and a consignment has one or more articles.
There are dozens of services, the most used is eParcel which goes:
Consignment #: ABC1234567
Article #: ABC123456789123456(09999)
Both include check digits, and the extra (09999) is the destination post code so it can still be routed in cases where the address info is damaged and the central servers are not available.
It's not common, but sometimes individual shipments / parcels get separated from their orders in transit, so it can be helpful to have the individual tracking codes.