Can we add a button providing options to add more details of same nature?

Please refer screenshot. Button circled in red. 

I believe you can use Configurable List widget for your form.

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

It allows a user to add another set of fields when they click the + button, which can also be modified. Here's a sample where you can see the configurable list in action: https://form.jotform.com/60408152193955 

You can also clone the form by following this guide: How to Clone an Existing Form from a URL