The rules as to subpoenas vary from state to state. In some states attorneys can issue subpoena themselves.  In other states only the courts can issue them (they have to be prepared and submitted to be so ordered for certain things like medical records) to avoid an abuse of power.  Although in Connecticut it appears that an attorney can issue a subpoena it does not preclude the court from issuing one - or an order - for documents or a person if you make the request of the court in a proper way.  If time is of the essence then maybe you should consult with an attorney about your case and pay for limited work to be done.  Good luck.