PS4 Pro can do HDR if your display isn't 4K...... you have to have 4K enabled on the console and the TV, but it is 4K when you do.
Before you get started
Refer to your display device manual to ensure:
You're connecting your PS4 Pro system to the correct 4K HDMI input. Check this for all devices connected between your PS4 Pro and 4K compatible display device.
Your display device supports 4K/60Hz. If it doesn’t, the picture may be scaled down to 2K/60Hz.
Make sure you are using Premium HDMI cables to connect all devices in the chain. You can find out more about Premium HDMI cables here.
You can only get dynamic 4K with a PS4 Pro system connected to a 4K compatible display device (e.g. 4K TV, 4K projector) with a Premium HDMI cable.
You need to enable 4K on both your PS4 Pro system and 4K compatible display device. You also need to enable this setting in any other device in between your PS4 Pro and 4K compatible display device (e.g. 4K compatible Home Cinema System/AV receiver).