An update regarding the availability of Greymoor on the PS4 on the PlayStation Store has been posted on the official forums.
The Elder Scrolls Online: Greymoor will be available for purchase on PlayStation Store for PlayStation®4 on June 9. Anyone who purchases the new Chapter – any digital version – between June 9 and June 22 on PlayStation Store will automatically receive the Gift with Purchase rewards
forums.elderscrollsonline.com