Can I show a list of courses available to a user?

While the functionality is not out of the box, yes you can show the list of courses available.

In order to do this, you would want to create a new page with our "blank" template. You could accomplish this 2 ways without the need for a developer:

1. That would allow you to use multiple "rich text" modules that you could make smart
2. a series of Image CTAs that are smart rules based on list membership. 

You could just use the columns/sections grid look on the page to make the listing.

PS: if you need further customization Impulse Creative is here to help