Yes, you can use Apophysis on Windows 10. There are old versions and new versions available for downloading. While I am on Windows 10 as well, I've selected the latest version to download. The software installed properly without errors and I was able to choose various options available withing the application.
The latest version is 2.09 and it's available for downloading through the SourceForge page: https://sourceforge.net/projects/apophysis/