Nope. As long as you are already signed into your Adobe ID you can create and edit projects without an Internet connection.

Do you need Internet for Adobe After Effects?

Once the apps are installed on your computer, you don't need an ongoing Internet connection to use the apps. In offline mode, annual Creative Cloud members get 99 days of grace period; month-to-month members get 30 days of grace period.

Can you use Adobe without WIFI?

You must connect to the Internet when you want to install Adobe Creative Cloud apps, such as Photoshop and Illustrator. Once the apps are installed on your computer, you don't need an ongoing Internet connection to use the apps.