Well just like you I don't know to much about it, so I asked to chat gpt and it tell me this:
No, the NVIDIA GeForce GTX 660 does not officially support the Vulkan API. Vulkan support started with the NVIDIA GeForce 600 series, but it was introduced with newer GPUs like the GeForce GTX 900 series and later. While the GTX 660 may be capable of running Vulkan applications to some extent, NVIDIA has not provided official drivers with Vulkan support for this particular GPU. For optimal Vulkan support, it's recommended to use a GPU from the GeForce 900 series or later.