Sorry, but the realistic answer is NO!
The latest HP drivers for your PC are for Vista, and without HP drivers, even if you can force an installation, you will be then stuck using the generic MS drivers, and those provide only the most basic functions.
Stuff that is likely NOT to work include the display, audio, and networking.
Also, there is no Upgrade Path from anything prior to Win7 for Win10; meaning, that you would have to do a clean-install which would remove everything you currently have.
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