Not impossible, but, pretty doubtful. He's so busy...I couldn't imagine. That would be way awesome though.
I noticed that too, on the calander. It is possible that NBC contracted with Tom's to only film the outside of his restaurant for the est. shot and not use his name....I know that they paid the "Cheers" bar $1 a year to shoot it's exterior (although--I don't know about the namesake).... but possibly Tom's name isn't in the contract--who knows. Also, " Monk's" sounds funnier than Tom's.