Yes! Shopify integrates with ecommerce fulfillment services just as with payment gateways. Right now we support Fulfillment by Fulfillment by Amazon, Shipwire, and Webgistix and will be adding services from more companies in the future. Just send a bulk shipment every once in a while to your fulfillment provider, and Shopify can let them know whenever an order comes in that they need to ship.
You can access your new store below.