Yes, but HP does not support this, and it voids your warranty. However, many OfficeJet Pro 8600 owners are out of warranty and want to use affordable ink.
Alternatively, you can print a or Configuration Page from the Setup > Reports menu to see the version listed under "Device Information". 3 Ways to Update the HP OfficeJet Pro 8600 1. Directly from the Printer (Easiest) If your printer is connected to Wi-Fi or Ethernet: On the printer's screen, go to Setup . Select Printer Maintenance or Tools . hp officejet pro 8600 firmware update