No. People could not live on Saturn, and NASA says the planet is not suited to life as we know it. Saturn is a gas giant made mostly of hydrogen and helium, and it has no true surface to stand or land on.
Below the clouds, Saturn is mostly swirling gases and, deeper down, liquids. The pressure inside the planet is so strong that it squeezes gas into a liquid, and NASA notes that the extreme pressures and temperatures would crush, melt, and vaporize any spacecraft that tried to fly into it. Winds in the upper atmosphere reach about 1,600 feet per second (500 meters per second) near the equator, compared with about 360 feet per second for the strongest hurricane winds on Earth. Some of Saturn’s moons are more promising: Enceladus and Titan have internal oceans that scientists think could possibly support life.
Source: Saturn: Facts (NASA Science)
Image: Saturn from the Cassini orbiter, NASA/JPL/Space Science Institute, public domain, via Wikimedia Commons.