Is there a form tool that allows you to create a dropdown list with a text box tied to each option in the dropdown?

Do you mean to allow your users to add new options to the dropdown list? If so, you may be looking for our User contributed dropdown widget.

http://widgets.jotform.com/widget/user_contributed_dropdown

If you are referring to something different, please provide us with more information so that we can guide you in the right direction.

Thank you!