yes you can see some infrared through phone cameras and also you can see some ultra violet. it just depends on the frequency of the light and the phone.
i know its years old but still obviously people talk without ever having tried. the oldest trick in the book to see if the infrared remote is working is to look at it flashing through a phones camera. saying categorically that it "cant" or wont happen or is not possible, simply shows your complete and total ignorance on the subject which is weird since even without testing your self you confidently say "NO". people are weird. yes you can see some infrared through phone cameras and also you can see some ultra violet. it just depends on the frequency of the light and the phone.
if you want to test this go get a remote control. lok at the led in the end of it and see if you can see the infra red with your naked eye. you probably cant. now do the same and look at it whilst pressing a button through your phone camera.
experience beats ignorant obsolete answers.