Is there a way I can make a button duplicate a form section?

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Hello everyone, here's some background: My client has made a website for her cheerleading program in order to have parents sign up and pay for the program online rather than have them do it in person, so I'v e made a product form to get information about the kids participating in the program (the form can be found when you click the Register for Try Outs product on the Register Now page; you just have to add the product to cart.) The problem I'm running into is if the Parent is trying to purchase registration for more than one child, there isn't a way for them to easily add adjust the form according to the quantity that is being added to the shopping cart. Is there a way where I can make a button for the form to duplicate part of the form in order for more info to be included? I had something like this in mind. Any and all help is appreciated!