Vulkan support under Windows is atm only for Gen9 GPUs - Skylake and beyond. Check out Re: Doom @ Vulkan, reply #67
According to Supported APIs and Features for Intel® Graphics Drivers your HD4400 supports GPU accelerated OpenCL and should be automatically installed with the graphics driver.
If you mean "CPU-only Runtime Packages" you can grab them here: OpenCL™ Drivers and Runtimes for Intel® Architecture | Intel® Software
You can double-check your OpenCL status with GPU Caps Viewer