Is adobe compatible with Apple's latest high sierra update?

Adobe is a company with many applications. You posted in the Adobe Reader forum. Is that the application you're referring to?

macOS High Sierra is now available for download. Prior to upgrading your computer's OS, you'll want to ensure your software and hardware will be fully supported in the new environment.

Wacom suggests users wait for a new driver.

Photoshop & High Sierra compatibility

https://helpx.adobe.com/indesign/kb/indesign-and-mac-os-high-sierra.html

https://helpx.adobe.com/illustrator/kb/illustrator-and-mac-os-high-sierra.html