Does Pro Tools work with an iPad Air2?

I have no clue what this app is to be honest. If it is in the App Store and can be downloaded to your iPad, then it will work. If it's not in the App Store, it can't be downloaded to your iPad. Have you gone to the App Store to see if it is there?

EDIT:

Doing a Google Search, I found this, which is what I think you're asking about --> https://apps.apple.com/us/app/avid-control/id1017075761?mt=34

Since this app requires iOS 12 or higher, this app is compatible with iPad Air 2

Define Pro Tools?

I just checked the App Store on an iPad running iPadOS 15.5 and Avid Control is there. I'm not sure why you can't find it?