No, Peacock is not included with Amazon Prime. They are separate streaming services with different content libraries and subscription models. 

What is the best way to view Peacock TV? 

The streaming service offered by NBC Universal is accessible on the official website, Peacocktv.com/tv - or the specially developed Peacock application.

The app can be accessed via Apple devices, such as iPhone, iPad, Apple TV 4K.

Peacock is a Peacock application is accessible for Microsoft's Xbox family of devices, which includes the Series S, Series X, and Series S as well as the Series S, Series X and the Series S and the Sony PlayStation 4, PlayStation 4 Pro and PlayStation 5.

Google platform and device that include Android, Android TV devices.

Chromecast is compatible with Google TV and Chromecast built-in devices.

Fire TV streamers like those that run the Fire TV Stick 4K and Fire TV Cube.

15 additional apps including NBC, NBC News, NBC Sports, Bravo, and Telemundo on Fire TV devices.

Roku devices like the Roku Streambar along with the most popular LG Vizio, Samsung Smart TVs.

Amazon Fire TV devices comprising Fire TV (2nd Gen and above), Fire tablets (OS5 and up) as well as

REFERENCE :  Peacock.com/tv