2nd gen yes 3rd gen doesn't look like it
as per Hp web site :
https://support.hp.com/us-en/product/hp-z210-convertible-minitower-workstation/5053199/document/c02794662
2nd generation Intel Core processor family:
Intel Core i3-2100 processor, 3.10 GHz, 65 W, 3MB cache, 1333 MHz memory, Dual-Core, HT, Intel HD Graphics 2000
Intel Core i3-2120 processor, 3.30 GHz, 65 W, 3MB cache, 1333 MHz memory, Dual-Core, HT, Intel HD Graphics 2000
Intel Core i5-2400 processor, 3.10 GHz, 95 W, 6MB cache, 1333 MHz memory, Quad-Core, no HT, Intel HD Graphics 2000, featuring Intel vPro Technology
Intel Core i5-2500 processor, 3.30 GHz, 95 W, 6MB cache, 1333 MHz memory, Quad-Core, no HT, Intel HD Graphics 2000, featuring Intel vPro Technology
Intel Core i7-2600 processor, 3.40 GHz, 95 W, 8MB cache, 1333 MHz memory, Quad-Core, HT, Intel HD Graphics 2000, featuring Intel vPro Technology