HP internal has mentioned in the past the BIOS upgrades for W8.1 and W10 will work on either OS. BIOS updates are not OS dependent "per se" but the the installer might be. Give it a go.
Prior to applying the BIOS update, run a full set of diagnostics and make sure that your PC is stable. I also suggest that you update the diagnostics if an update is available before running the diagnostics.
BTW - Your PC has not been certified by HP for W10.
HP ENVY 6055, HP Deskjet 1112 HP Envy 17", i7-8550u,16GB, 512GB NVMe, 4K screen, Windows 10 x64 Custom PC - Z390, i7-9700K, 32GB, dual 512 GB NVMe, dual 512 SSDs, 4K screen, OC'd to 5 Ghz, NVIDIA 2080TI 11GB