I have an older version  of Print Artist and I don't want to lose all my things made for school (banners, calendars, awards, etc.) if I download the new Windows 10. Is Windows 10 compatible with Print Artist Sierra Home 2002 version?
This is a very old application released 13 years ago and since then it didn't receive any updates to enhance its compatibility with newer operating systems. No, the software won't work on Windows 10. You will have to install a virtual machine with the help of Virtualbox in order too use it. In VirtualBox it's recommended to have Windows XP as operating system, then you can transfer the software, but in native mode you will have issues and might lose all the content you already have.
VirtualBox download: virtualbox.org/wiki/Downloads
VirtualBox tutorial: https://www.virtualbox.org/manual/ch01.html#gui-createvm