Austin A. yeah unfortunately you won't be able to embed React code in Webflow. That would be pretty cool and maybe something they plan to do in the future.
My best guess without having to dig into it much is that you would have to use zapier or make.com in order to make your webflow native form speak to Pardot.
Unless Pardot as an HTML embed option or a "Web javascript" embed option. If they do, then you could follow some sort of embed process to make the form work.