JotForm is a free online form builder which helps you create online forms without writing a single line of code. No sign-up required.
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.
Yes, we have already that reCAPTCHA, this is as a widget and you will find it on this link: http://widgets.jotform.com/widget/google_recaptcha.
There is a sample form as well where you will see how it is.
This guide will also help you to add the widget to your form: https://www.jotform.com/help/252-How-to-Add-a-Widget-to-your-Form.
Hope this helps.