If someone sends me a text message, and there is no signal on my mobile phone at this time, can I still receive this text message after the signal is restored?

No, your cell phone has no signal. When it is sent to you, the other party will show that the sending failed. Information is usually stored in the other party's outbox and waiting to be sent again. There will be no charge. If there is a signal when sending, the other party shows that the transmission is successful, and then you enter the blind area. You couldn't receive it at that time, but once the signal is restored, you can receive the message from the other party immediately.