Yes! Go to your storefront, and the amount sold for each design will be on the bottom-left area of its thumbnail:
Please keep in mind that these numbers reflect the number of sales per design, not per product. This means that if you click into the "pillows" option, from the menu on the left-hand side of your storefront, and you notice you have 5 sales under one design, it will also reflect 5 sales under that design when clicking into the "mugs" option.
This counter also reflects all the times a customer has finished the checkout process. This means that canceled orders are included in these counters, too.
To see the breakdown of which products the design was ordered on, please log in to your account, and download your artist earnings report (which represents the most accurate and up-to-date report of your sales history).