This is your processor: Intel® Core™ i7-7700K Processor (8M Cache, up to 4.50 GHz) Product Specifications
Yes, it has Intel HD Graphics 630.
If you do not see the Intel Graphics in the device mangler, then it is either not enabled in the BIOS, or disabled by the having Nvidiia graphics,
Check the BIOS and if you still have questions about enabling the Intel Graphics, contact the manufacturer as it is their BIOS.
Thanks for the response but there is no option relating to this in the BIOS.
NVIDIA does not disable the GFX card, on my old Alienware I had the Intel & Nvidia cards running side-by-side with no issue, I could right click an app and choose 'Run this with' and select either the Intel Gfx or Nvidia.
It appears this has been a known issue, I've just quickly tried the HP driver setup but it gave me the same error: 7700K Intel HD Graphics driver?
I think your best bet is to first check with the manufacturer to see if the Intel Graphics can be enabled. I would also make certain that you have the latest BIOS from the manufacturer.