Can I still get text messages when my mobile phone is off?

If you stop, you won't receive the SMS, but the SMS will be kept in the SMS center for 48 hours. After 48 hours, the stopped mobile phone still can't be connected. Mobile will delete the short message you sent and don't save it! Therefore, the other party can still send it when it stops, but it will be sent to the mobile SMS center and will be kept for 48 hours.