Does Vulkan provide functionality to draw basic primitives? Point, Line, Rectangle, Filled Rectangle, Rounded Corner Rectangle, Filled Rounded Corner Rectangle, Circle, Filled Circle, etc.. ?
I don't believe there are any VkCmdDraw* commands that provide this functionality. If that is true, what needs to be done to draw simple primitives like this?
Vulkan is not vector graphics library. It is an API for your GPU.
It does have (square) Points and Lines though. But size other than 1 is optional. And any other high-level features you can think of are not part of the API, except those in VK_EXT_line_rasterization extension.
Rectangle can be a Line Strip of four lines.
Filled Rectangle is probably two filled triangles (resp. Triangle Strip primitive).
Rounded corners and Circles probably could be made by rendering the bounding rectangle, and discarding the unwanted parts of the shape in the Fragment Shader. Or something can be done with a Stencil Buffer. Or there is a Compute Shader, which can do anything. Alternatively they can be emulated with triangles.