Is it possible to send POST data with a HEAD Request?
No, a HEAD request is different from a POST request. A HEAD request does not accept post data. From the HTTP specification section 9.4:
The HEAD method is identical to GET except that the server MUST NOT return a message-body in the response. The metainformation contained in the HTTP headers in response to a HEAD request SHOULD be identical to the information sent in response to a GET request. This method can be used for obtaining metainformation about the entity implied by the request without transferring the entity-body itself. This method is often used for testing hypertext links for validity, accessibility, and recent modification.
Since a GET request does not contain post data, a HEAD request also does not.