Absolutely not! As its CSS code is only applied to the DragDropr content.
Any eventual CSS is included as "Inline Styles" and "Internal Style Sheet" in the populated WYSIWYG field content.
However, there might be cases where Shopify styles affect DragDropr styles as Shopify styles are applied globally to all content, even to the one created by DragDropr.
However, there is an option to switch it off for this very page: