Is it possible to receive sms messages when submissions are received?

Is there a way to receive a text messagee when a submission has been recieved? 

Yes, there is a way.

1) You can check our 3rd party integration with Twilio through Zapier: https://zapier.com/zapbook/jotform/twilio/

2) There is another way with Webhook integration: 

You can achieve that by using the Webhooks integration: https://www.jotform.com/help/245-How-to-Setup-a-Webhook-with-JotForm

And here is how to send instant notifications by using Webhooks: https://www.jotform.com/blog/85-Send-Instant-Submission-Notifications-with-Webhooks

PHP script examples (2nd example is the SMS) https://www.jotform.com/help/248-Webhook-PHP-Script-Examples

Please let us know if you have any further questions.

Thank you!