Here is the support page for that PC
https://support.hp.com/us-en/product/hp-pavilion-p6600-desktop-pc-series/4269976/model/4299990/docum...
According to that page, the PC does have wireless capabilities on the 2.4 GHz band. Assuming the WiFi source has that band available, it should be able to connect. With the Ethernet cable disconnected, look in the lower right corner near the clock to locate the WiFi available in the location near and you and sign-in.
I'm not an HP employee.
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