Nick here from Shopify.
Great question. Yes, this is definitely something you can do. The main aspect of having this work would be finding another sales channel or supplier that has the product. Amazon is one which springs to my mind as you can link it to your Shopify store and it could be quite likely you would find the product there unless you have a product which is very custom.
As Anthony alludes to above, the Linkify app which helps you import products from Amazon to your store. Before you import anything from Amazon into your store you must activate the Amazon sales channel on your store. There is a great guide from Shopify going through all the steps for everything and anything to do with the Amazon sales channel which you can see here.
Any other questions, don't hesitate.
All the best, Nick