Is there a way I can connect a desktop wifi chip to my raspberry pi two? Just for clarification, not the usb adapter but an actual wifi chip.
If you're just interested in attaching a non-USB WiFi device, you may want to take a look at an ESP8266 WiFi module (or chip).
In fact, there is an Instructable guide just for that: http://www.instructables.com/id/Connect-an-ESP8266-to-your-RaspberryPi/
Note: It's not that great for full-blown WiFi comms. Maybe serial.