"We absolutely love it!"
— Aaron Mattox What They Say

Can I use Carousel without the Jetpack plugin?

Yes, see the Gallery Carousel Without Jetpack plugin by Syed Balkhi. This is useful if you do not need all of the modules that Jetpack provides or don’t want to connect to an account at WordPress.com.

Keep in mind that this plugin may not be as up to date as the Jetpack plugin itself.