I graduate May 18th, and my program says that some people have taken the Nclex at end of May/Early June. My friend who is graduating with me this year finished 2nd semester on May 12th of last year, and took her Nclen-PN on June 1st. I think it also depends on your school. For instance, my director will send out of graduation info on the day we graduate. We already have our application on file, fingerprints done, and registration w/Pearson view with all fees paid.
Good Luck and Congrats on your Graduation!