Yes. If the Airbnb Promo is active in your SuperControl account, it will be showing in the Current disocunts report.
Go Properties > Current discounts.
Here you will see all properties listed on the left hand side and there respective discounts that are currently applied on the right hand side.

When you click onto the Edit button with the Airbnb logo, you will be forwarded automatically to Integrations > Channel manager > International > Airbnb > Settings.