No
Even if different organisations can be involved, the directive clearly indicates that there can be only one manufacturer who is responsible for design, manufacture and conformity assessment of the pressure equipment.
The manufacturer may subcontract tasks in relation to design and/or manufacture but must retain overall control and have the necessary competence to take the responsibility for the product.
See also PED Guideline D-03.
See also the ‘Blue Guide’on the Implementation of EU product rules