Does a 2004 Honda Accord have a non interference engine?

No, the 2004 Honda Accord is an interference engine. The 4 cylinder has a chain that requires no maintenance and should last the life of the engine. The V6 has a belt that must be replaced every 110,000 miles. The water pump is driven by the cam belt and should also be replaced at the same time as the cam belt. If the belt breaks you will have serious engine damage.