Yes! KA is looking for two types of design interns: product design interns, and visual design interns. We strongly recommend that product design interns be in (or have just completed) an HCI-like program[1] or have relevant real-world experience. Visual design interns can help with everything from making cool stuff around the office, to creating assets (like avatars) for the site, so digital art skills are a must.
The design team is much smaller than the dev team so we will likely only be taking one or two interns this year.
I'm currently enrolled in a masters HCI-like program, do you have a way I can get in touch with you? My email is in my profile if you would like to reply that way.