No. Because the texting function is based on the phone number, the phone sends the text message through the carrier's base station.
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The wireless network is only through the broadband network, so that the mobile phone is connected to the Internet, and the mobile phone is still in the shutdown state, the mobile phone number in the shutdown state is no SMS function, so it can not be sent. You can only charge the phone through the wireless connection, and you can send text messages after you have the phone bill