Skia doesn't include vulkan in it's builds (besides headers). Instead, the client is responsible for including and setting up Vulkan in their own code. The client will do things like create the VkInstance, VkDecice, etc. They will then pass these into Skia along with a GetProc Skia can use to access Vulkan functions (see GrVkBackendContext).
In our internal test apps, we tend to dynamically load Vulkan (see VkTestUtils). However, the client is free to include Vulkan however they want. FWIW this is the same model Skia uses for GL.