Yes, you can. The interface on the Playstation is nice too. You would need to download the app from the Playstation store. Also, if you don’t have a subscription then you would need to go to WWENetwork.com to sign up. Once you are signed up then go to the Playstation screen and log in. Here are the step by step instruction from WWE:
In order to experience WWE Network on the PlayStation®3 or PlayStation®4 system, you must have a PlayStation®3 or PlayStation®4 system and be a WWE Network subscriber.
To use your PlayStation®3 or PlayStation®4 system with your WWE Network subscription, download the free WWE app from the PlayStation®3 or PlayStation®4 Store, which is listed under the PlayStation® Network menu. You can access it by launching the PlayStation® Store.
- Select Apps from the menu
- Choose the WWE app and select to download.
- Once the download completes, the app will install.
- After the installation is complete, you can launch the WWE app from the Video menu on your PlayStation®3 or PlayStation®4 system.
If you are a subscriber:
- Go to the Video menu.
- Select the WWE App.
- Click on the Subscriber Sign In button.
- Sign in to your WWE account.
- Enter the email address and password for your WWE account.
- Select Continue to sign in.
- Once your account has been verified, you will be taken to the home screen and can select the programming from WWE Network that you want to watch.