Q. I am a re-employed annuitant at a defense agency. I have been receiving both my full annuity and salary. I have been in this position for the past eight years. I was recently told that I would be released due to an applicant from the Priority Placement List. Can I collect unemployment? I am employed in Philadelphia and reside in New Jersey. A. Highly unlikely. As a rule, no one receiving an annuity can collect unemployment compensation. However, the final decision rests with the employment office of your state. Check there.