Yes it is possible, but depends on the setup of your on board equipment and operating software and restrictions enforced.
In one airline this is thus possible, in others it is not.
Ultimately, think of it as a message exchange method like an email server on the internet.
You can send and receive messages provided you are able to enter the correct address to send it to.
If you do not know the right address, the mail server bounces your message even though it was correctly sent from your device to the server for processing.
Similarly, if the server receives a message bound for you, it forwards it to you...
Last edited by Skyjob; 22nd Jun 2014 at 12:47.
Reason: typo