Can I have the form emailed from my server?

If I understood you correctly, you want to send emails from you own email address. 

Inside of this guide you can find how to send form emails from your own email address:

https://www.jotform.com/blog/86-Send-Form-Emails-From-Your-Own-Email-Address-JotForm-Now-Support-SMTP 

And Inside of this guide you can find how to setup SMTP for a form:

https://www.jotform.com/help/244-How-to-Setup-SMTP-for-a-Form 

Hope this will help. let us know if you need further assistance.