No, Earth cannot have two moons in the traditional sense. The term "moon" typically refers to a natural satellite that orbits a planet. Earth already has one such moon, known as the Moon or Luna. It is relatively large compared to other moons in the solar system and plays a significant role in various Earth processes, such as tides.
While it is theoretically possible for Earth to capture another object temporarily into its orbit, it would not be considered a second moon in the same sense as our existing Moon. Such captured objects are usually referred to as "temporary satellites" or "minimoons." These are typically small asteroids or space debris that are captured by Earth's gravity for a limited period before eventually escaping or being ejected from orbit.
However, it's important to note that no second moon has been discovered or observed in Earth's orbit.