Greetings,
Welcome to the forum.
I am not a HP employee.
Official HP support for your system indicates Windows XP and Windows Vista.
You need a GPIO header on the motherboard to connect a Thunderbolt PCIe add in card to get this.
I don't think your PC has this MB header.
The HP Service and Technical Reference Guide, page 80, (Link) does not reflect Thunderbolt support.
Regards