On official PVP servers, player versus player combat is enabled all the time.
On official PVE-C servers, player versus player is enabled from 6pm to 11pm server time.
On official PVE servers, player versus player combat is always disabled.
The battle standard allows for pvp as well, but it functions independently of server settings.

In Conan Exiles, enabled PVP is not sectioned off like in some other games. Anywhere an enemy player may approach you, they can pull out their weapon and attack you. An enemy player can ambush you while you’re doing pve in a village, boss location, etc. They can wait until your health drops low from fighting npcs and kill you while you’re vulnerable. If you try to climb your way out, they can too. If you try to swim away, they can follow you. You can retreat from pve, but an enemy player can chase you all over the map content; villages, bosses, dungeons or wherever the map allows.