Yes, most creationists believe the continents have moved, although not as slowly as the museum exhibits may claim.
Dr. John Baumgardner has developed a model of “catastrophic plate tectonics” (see globalflood.org). According to the model, at the beginning of the Flood, thousands of miles of the earth’s crust split apart along lines traversing the globe. The mantle rose to fill the voids between the splitting plates. When this 2,000°F (1,093°C) rock contacted the cool seawater above it, the seawater flashed into steam. This formed a line of steam jets along the boundaries of the plates (possibly the “fountains of the great deep”).
The immense and incredibly powerful steam jets shot tens of thousands of feet into earth’s atmosphere. Significant amounts of seawater were also lifted into the atmosphere. For several weeks, this fell to earth as intense global rain (possibly the “windows of heaven”).
The rising of the mantle through earth’s crust also resulted in a temporary rise in the global sea level, causing the oceans to flood the continents.
These simultaneous activities resulted in the dramatic shifting of the earth’s crust to produce today’s seven continents.
For more information, see www.answersingenesis.org/go/tectonics.