Crytek does not have a Vulkan renderer that is planned. Or if it’s planned, it is not going to be ready anytime soon. That may be a little disappointing to hear, but since DirectX12 has been available for a longer time, it’s natural that it takes precedence.
It looks like CRYTEK-CRYENGINE/CRYENGINE is going full-metal AMD on things here… as their engine source is now available on github. The community should just magically push the Vulkan button for them.