Can this PC play PS2 emulator...

[TheDax]

PCSX2 only uses up to 3 cores iirc (when you're not using software rendering), so the additional cores won't help at all (they'd be nice for system responsiveness to have other apps open while you're gaming, but that's about it). Emulation is more about raw CPU power (e.g. instructions per clock to a huge extent, and clock speed, to a lesser extent) than number of cores. It costs a lot of CPU time to sync threads (which is why PPSSPP really isn't that much faster with multithreading).