Yes for module G.
Indeed, article 16 indicates that, by way of derogation from the provisions relating to the tasks carried out by the notified bodies, the conformity of pressure equipment can be assessed by a user inspectorate. And so the specific assessment referred in annex I Section 4.2 c) can be carried out by a user inspectorate if, in accordance with article 16, it has been appointed for module G.
Note:
For module A2, the specific assessment is carried out by the manufacturer. For module C2 and F, the specific assessment was carried out previously as part of the B modules.