Yes, of course! When you receive in inventory from a submitted Purchase Order in ecomdash, the quantity received will be added to your product's quantity within Inventory Management. If you have Auto Sync enabled for your products, this quantity change will automatically send out a quantity sync to any listing on your integrated sales channels that have the same SKU to update them with the current quantity.
You can ensure that Auto Sync is enabled by navigating to Inventory > Inventory Management where you should see a blue Sync icon next to each product SKU. Click here for a guide with more information on our Auto Sync feature.