I might be wrong - but not in my experience. Essentially, a classic Q-sort technique adopts an ordinal-type process for correlational matrices and factor analysis outcomes. Any descriptive outcomes will usually be based on tendency and distribution measures.
The last part of this attached chapter (mixed-methods approaches) might assist.
Although it is highly unusual, I do think it is possible. Best to read up on Q methodolgy in the book by Simon Watts and Paul Stenner: Doing Q methodological research - Theory, method and interpretation.
Dean - your paper was really informative. I noticed you mention the Delphi method. I am actually conducting one following the Q-sort. I noticed in your 2008 paper that you collected the rounds electronically. Did you use any particular software?
Anne - thank you for the book title. I actually found a paper by the same authors that explain although a quasi-normal distribution is used, it is merely to encourage participants to place the cards systematically. Brown (1980: 288-289) argues that there is no statistical implication in a forced distribution in comparison to a 'free' distribution.
Brown, S.R. 1980: Political subjectivity: applications of Q methodology in political science. New Haven, CT: Yale University Press.