The answer is no. It’s because Earth goes around the Sun. As a result, the Sun moves in the sky relative to the other stars. So, the Sun appears to move through the constellations of the zodiac, which is why you hear that the Sun is in a particular zodiac constellation in a particular month. For example, in September, the Sun is in the constellation of Virgo. In October, it will go to the constellation of Libra, and so on.