if you use one of the form plugins that support zapier.com ( ninjaforms, gravity forms and formidable pro )
you can easily do this .
Set up at zap that when a form is filled sends the owner of the form a sms / or even a phone call . you can use twilio.com for this .
The only problem i can see right now is to match the right owner to the phone call. You can export every client from your website, put them in a spreadsheet ( or database ) and when somebody sends a mail to [email protected] you can get zapier to search trough your client list, and find the right phone number before calling some random guy 🙂
I think a text would be better, but that of course depends on where in the world you are ( i know here in europe its not common to get automated calls, but its possible )