You can get it using the $value
parameter to get the MIME type of the message and read the entire header!
From Example 4 - Get message
GET https://graph.microsoft.com/v1.0/me/messages/4aade2547798441eab5188a7a2436bc1/$value
Response
HTTP/1.1 200 OK
Content-type: text/plain
Received: from contoso.com (10.194.241.197) by
contoso.com (10.194.241.197) with Microsoft
SMTP Server (version=TLS1_2,
cipher=TLS_ECDHE_RSA_WITH_AES_256_CBC_SHA384_P256) id 15.1.1374.0 via Mailbox
Transport; Mon, 4 Sep 2017 03:00:08 -0700
Received: from contoso.com (10.194.241.197) by
contoso.com (10.194.241.197) with Microsoft
SMTP Server (version=TLS1_2,
cipher=TLS_ECDHE_RSA_WITH_AES_256_CBC_SHA384_P256) id 15.1.1374.0; Mon, 4 Sep
2017 03:00:07 -0700
Received: from contoso.com
(fe80::5bf:5059:4ca0:5017) by contoso.com
(fe80::5bf:5059:4ca0:5017%12) with mapi id 15.01.1374.000; Mon, 4 Sep 2017
03:00:01 -0700
From: Administrator <admin@contoso.com>
To: Administrator <admin@contoso.com>
Subject: This email has attachment.
Thread-Topic: This email has attachment.
Thread-Index: AQHTJWSHSywMzSz8o0OJud48nG50GQ==
Date: Mon, 4 Sep 2017 10:00:00 +0000
Message-ID:
<4aade2547798441eab5188a7a2436bc1@contoso.com>
Accept-Language: en-US
Content-Language: en-US
X-MS-Exchange-Organization-AuthAs: Internal
X-MS-Exchange-Organization-AuthMechanism: 04
X-MS-Exchange-Organization-AuthSource:
contoso.com
X-MS-Has-Attach: yes
X-MS-Exchange-Organization-Network-Message-Id:
0ffdb402-ec03-42c8-5d32-08d4f37bb517
X-MS-Exchange-Organization-SCL: -1
X-MS-TNEF-Correlator:
X-MS-Exchange-Organization-RecordReviewCfmType: 0
MIME-Version: 1.0