For cutting-edge LLM work, probably? I mean, I run mine on older hardware than that, but I'm a total hobbyist...
It should be noted that while the HP Prodesk was released in 2020, the CPU’s Skylake architecture was designed in 2014. Architecture is a significant factor in this style of engineering gymnastics to squeeze the most out of silicon.
For LLMs...yeah. I imagine you're measuring in tokens/minute with that setup. So its possible, but...do you use it much? :)