Oh yes he can... just check out this video here.
I have always loved this man's movies (well most of them of course - I'm looking at you Eternal Sunshine of the Spotless Mind).
I know this man has a great career, is very generous, and has also been through a lot in his life. Seeing yet another side to him, and his other, more personal outlet is really fantastic.
I guess there is always "more than meets the eye", even when it comes to a man like Mr Carrey.