What is JotForm?
JotForm is a free online form builder which helps you create online forms without writing a single line of code. No sign-up required.
At JotForm, we want to make sure that you’re getting the online form builder help that you need. Our friendly customer support team is available 24/7.
We believe that if one user has a question, there could be more users who may have the same question. This is why many of our support forum threads are public and available to be searched and viewed. If you’d like help immediately, feel free to search for a similar question, or submit your question or concern.
Are you asking if you can host JotForm, on your own, via a local server, and use it for internal purposes?
If so, then no, that's not possible. We offer JotForm as a SaaS platform so it will always be hosted by us and all the forms you create will be publicly viewable by anyone who has the Form URL/Link. Nobody knows this though except you though, so it will only be viewable by someone else if you share it with them.
On the other hand, are you referring to a localhost installation (e.g. a domain/website that you host locally via xampp or wamp)?
If that's the case, then sure, that would work just fine. You only need to embed the form to your desired page that is hosted locally.
Here's a quick example:
Related guide: Which-form-embed-code-should-I-use