Yes, of course! When you receive in inventory from a submitted purchase order in ecomdash, this will add quantity to your product SKU's within inventory management. If you have auto sync enabled for your product SKU numbers, this will automatically send out a sync based on the quantity adjustment on the purchase order to your sales channels. 

To check to make sure auto-sync is enabled, navigate to Inventory -> Inventory Management and you should see a blue arrow icon next to each product SKU.