Is it possible to connect an iPhone/iPad via WiFi Protected Setup (WPS)? I was wondering if anyone know if it is possible to connect your iPhone/iPad to a router via WiFi Protected Setup (WPS)?

I would like to bypass entering my password on my iOS device and speed pairing similar to how printers can get on the router with a PIN or first attempt.
No, you cannot do this (source). You should strongly consider not using WPS anyway, as it has a number of documented security issues. Apple has a page which describes recommended router setup for connecting an iOS device, which might help.