Yes, you can get tracking information automated from your supplier.
1. Navigate to Administration - Warehouses
2. Click into your warehouse
3. Select the Import Format tab
4. Create a format that contains carrier, tracking #, and ecomdash ID
5. Click Save
6. Navigate back to the Details tab, and make sure you have enabled the warehouse integration for this process to be automated.
*Note: you will need ecomdash ID in both your export and import feeds in order for ecomdash to send and receive the data from your supplier.