Hello Kyran,
No not yet, for now, the reminder email content only mentions the order number , status and link to order details. This was kind of a choice we made.
We could add the product list in an update as an option. But one of our main goal was to make the email look human (from a member of the customer service for instance), and not automatic. If we add a well formatted list of products with thumbnails and hypertext links etc... it would look very "automatic". But still we could add this an option.