Yes you can get there by foot

Date: 23 Dec 2010
Time: 2031 hrs
Place: Little India MRT Station exit

I am jogging with headphones plugged into my ears and obviously trying to move steadily when, just outside of the Little India MRT station exit, a skinny, young, Indian woman wearing a black dress and with blonde hair, smoking a cigarette, comes right up to me and asks where KK hospital is. I jog on the spot and point to the left telling her it's where you can see the blue lights (and the big sign) and then she asks whether she can walk from here. I told her yes and jogged off, and she still seemed unconvinced as I left.