I want to know if it's possible to internally host a form instead of using the adobe site.
Is there a way to convert the form into html and have it uploaded to my own server?
We are using the form to register students coming into our facility, we want to make sure that information is not accessed by third party and that even when the adobe servers are down we can still access the form.
Sorry you can't host the HTML yourself. Storing the data on our system is pretty secure (see http://forums.adobe.com/docs/DOC-1384) and we are rarely down. You can also export the data once in a while to a local system so you can access it when offline.
But if this doesn't work for you then one thing I can proposed to you (if you really want to take care of the data yourself) is to generate a PDF form instead of an HTML form. You will need a paid subscription for this. Then you can generate the PDF without a submit button. FormsCentral then won't collect data for this PDF. You can then use Adobe Acrobat to add a submit button to email the completed form to you via email. This way you are in charge of the data. See http://forums.adobe.com/message/5417336#5417336 for help on how to do this.
Hope this helps