I've gone on vacation for 5-6 days before and I have tetras, cories, malawi cichlids, and other community fish in my various tanks....they were all fine. I made sure to do a big water change before leaving and feeding the day I left, as well as the day I came back, so instead of the 7 or so days I was gone, they only went about 5 without food.
My fish are used to eating every other day though anyways, but I still believe the fish would be fine for a week.