Not necessarily. The Chernobyl accident was caused by staff overriding automatic fail-safe mechanisms to conduct a risky experiment; because of a design fault in the control rods, this led to the explosion. Improved mechanisms render modern reactors extremely safe. Toshiba has a design, currently awaiting US approval, for an almost entirely automated 10MW reactor that could run for 30 years without being refuelled. The first one is proposed for the town of Galena, Alaska for 2012 or 2013.
RE
Computers are immune to human error but all electronics can suffer from crashing; mistakes in the programming; as this would be a complicated programme to run some crucial details could easily be overlooked. For this reason I think the computer programme should be rigorously tested in a simulation before it can be used for generating electricity with a reactor being constantly monitored by technicians.