It is not possible for a DOA holder to have the privilege to issue a permit to fly (PtF) for the purpose listed under 21.A.701(a)15; for all other purposes it is possible.
To receive the privilege to issue a PtF, your DOA has to apply for it using the form FO.DOA.00082 (Application for Significant Changes to Design Organisation Approval). Also you have to issue procedures which describe how the flight conditions are defined and approved under your design organisation. The procedures shall ensure that necessary inspections, tests and analysis are performed before the flight conditions are approved. For more detailed information contact your DOATL.