No, water does not boil faster in a copper vessel compared to an iron vessel at the same temperature. The material of the vessel does not significantly affect the boiling point or the rate at which water boils.
The boiling point of water is primarily determined by its atmospheric pressure. Under standard atmospheric pressure at sea level, water boils at 100°C (212°F). If the pressure remains constant, water will boil at the same temperature regardless of the material of the vessel in which it is heated.
However, it is worth noting that different materials conduct heat differently. Copper is a better conductor of heat than iron, meaning that copper transfers heat more efficiently. As a result, a copper vessel may heat the water slightly faster than an iron vessel when placed on the same heat source. This difference in heating rate is due to the varying thermal conductivity of the materials, not because the water reaches its boiling point faster.
Once the water reaches its boiling point, the rate at which it boils and converts into vapor is primarily determined by the energy input (heat) and the atmospheric pressure, rather than the material of the vessel.