There are only two ways to make a PDF from a Pages document (.pages) and one is to Export it from Pages to PDF, and the other is to select PDF from the Pages print panel and Save as PDF. There isn't any other application on the planet that can convert a Pages document to PDF.
Now, if the problem is that that nameless Adobe product wants to open PDFs created by Pages, than that is another issue, and can be resolved by right-clicking a PDF and choosing Get Info from the secondary menu. On that Get Info panel, visit the open with section and change Adobe Acrobat to Preview, and then click through the Change All… button to make the changes. From that point, the default opening application for PDFs will be Preview.