Yes, they will shift South.
When you observe the night sky from a location further south of 34 degrees N latitude, the constellations will appear to shift southward in the sky. This is because the observer's latitude affects the angle at which they view the stars and constellations. As you move south, you gain a view of constellations that are not visible from higher latitudes, while those nearer the north celestial pole will appear lower in the sky.