Is it possible to create a page on my store called “Kickstarter Campaign” and then on that page is my live kickstarter page?
You can absolutely do this! Using a bit of HTML you can embed essentially any live page or site into your store. Hubspot has a great article going over all different types of social media content as well as live web pages: How to Add HTML Embed Codes to Your Website [Quick Tip].
You can use the embed code either through the theme editor and create a unique theme template for the page or inside the page content builder. You will want to use the rich text function in either place to insert the embed code.