You won’t be able to shop at any site that is supported by LaterPay for as long as you haven’t settled your LaterPay invoice.
Please remember that your LaterPay invoice will contain items from several content providers. They all trust you to pay your invoice. If you are not happy with an individual purchase on your invoice, there will be a content return process soon that enables you to return it. In that case you will just settle your invoice minus the content in question.