Can the《商标申请受理通知书》(Notice of Acceptance of Trademark Application) be used in support of trademark claim?

No. The Notice Acceptance of Trademark Applicationcan only prove that the trademark application has been received by the Trademark Office of the State Administration for Industry & Commerce of the PRC. It, however, could not be used to prove the application has been granted for registration (You may refer to the below screenshot for a sample of the Notice of Acceptance of Trademark Application.)