No, the Social Publishing Feature in the Platform no longer works with Facebook due to some changes made by Facebook. Social Publishing with Facebook is not supported.
This change was finalized in 2018 and can be referenced directly in Facebook via https://developers.facebook.com/blog/post/2018/07/31/platform-update-publish-permission/.
If further assistance is required, submit a ticket to Punchh Support. (For help submitting a ticket, click here)