No, an object's weight does not change during a solar eclipse. The weight of an object is determined by the gravitational force acting on it, which is primarily determined by the mass of the object and the mass of the celestial body it is near (such as the Earth).
During a solar eclipse, the alignment of the Earth, Moon, and Sun causes the Moon to temporarily block the sunlight from reaching certain areas on Earth. This does not have any direct effect on the weight of objects on Earth. The gravitational force acting on objects remains the same, regardless of whether there is a solar eclipse or not.
It's worth noting that the perception of weight can be influenced by factors such as atmospheric conditions, but these factors are unrelated to a solar eclipse.