Yes, even a week without food isn't a big deal at all. Fish don't always have to eat everyday. Several freshwater native species (bass, perch, etc) don't feed much at all through the cold months unless something is literally right in their face.
I have, inadvertently, left oscars AND convicts without food for 4 weeks (the person who was supposed to feed them forgot I had asked them....) and everything survived. They ate a ton for a few days and the oscars gave me attitude, but other than that, they survived just fine. I don't recommend that by any means, but they can go solid periods of time without food.