Woocommerce Order Update API

If you’re familiar with Groupon they allow their users to redeem their products by the push of a button in their app. I would like similar functionality for my product emails.

The user should purchase the product and then a redeem button should be placed in their email. I’ve already figured out how to get a button into specific product emails.

What I need now is to allow that button to perform a PUT request and update the order status to completed.

Does this sound possible? If not does anyone have any advice on how this could be implemented?