I don't know whether it's possible to specify the SIM entry(s) as the destination for an SMS, but you ought to be able to use AT extended commands to read the SIM phone entries and then send your SIM to each listed number:
I do not know if well understood. I do not want to save messages on a SIM only send a predetermined message in code to numbers that are included in your SIM card. Like this:
Serial.println("AT+CMGF=1");
Serial.println("AT+CMGS=\"number\""); // all numbers from SIM not only one
Serial.println("Message from Arduino.");
Serial.println("\x1A");
Serial.println("AT+CMSS=1");