Yes! - You can search for a student on your group's roster.
1) Click Settings (top bar on your dashboard)
2) Click MANAGE in the Mange students box
3) Click on Groups on the bottom of the page
4) Use the Find student search box to type your student's name and click Go
5) If they are in a group their name will appear as well as the group(s) they currently belong to.
6) You can click and drag their name into groups.