No. The CD no longer acts as a key. Once you install Final Draft 7, you have 15 days to activate the program so it can continue to run on your hard drive. This counter starts the day you install Final Draft. Uninstalling and reinstalling Final Draft 7 doesn't reset the clock.
For more on activation and deactivation, click HERE.
NOTE: Live support for Final Draft 7 has been discontinued. You will still be able to install, activate and use FD7 on appropriate computers but email, chat and telephone support is no longer available. Live activation assistance is still available via phone (818-789-6281) and email and chat (links on the left side of this page).