No, you cannot see your reflection in a mirror during a solar eclipse. During a solar eclipse, the Moon passes between the Earth and the Sun, partially or completely blocking the Sun's light. This creates a significant reduction in the overall brightness of the environment.
Mirrors work by reflecting light. However, during a solar eclipse, the amount of sunlight available to reflect off the mirror is greatly diminished due to the obstruction of the Sun. The mirror would not receive sufficient light to reflect back a clear and visible reflection of yourself or your surroundings.
Moreover, it is generally not recommended to look directly at the Sun, even during a solar eclipse, as it can cause damage to your eyes. So, it is important to exercise caution and use appropriate eye protection when observing solar eclipses.