Nope, it's not part of Office.
Visual Basic is a Microsoft product -- it's used by developers to create apps and other programs. If it's on your computer, it will be in the Programs folder.
Based on the thumbnails, it appears when you open Excel, it opens Visual Basic instead, which then tries to print to the PDF Writer program. It is possible to open Visual Basic editor in Excel -- note the Excel icon in the upper left corner of the Visual Basic window. Try clicking on that next time.
Not sure what would have caused that -- looks like one of your Excel settings got changed somehow, or you're missing a library. If you can't reset the settings, try uninstalling and reinstalling Excel and/or Office.