There used to be an external script to allow for card sorting, but it received that little usage, that we did not maintain it. For the same reason, SoSci Survey does currently not have a card sorting question type.
This feature is planned for future releases, but it has only low priority (unless several users articulated more interest).
What you can do with moderate effort: You can use a script from the Internet (example) and just use this in your questionnaire. The use internal variables to write the results into, to have them stored in the data set.