Is the sun in space

It's impossible to know how thoroughly you want the answer. The sun is at the center of our little solar system, about 30,000 light years from the center of the Milky Way Galaxy. We are in a six galaxy cluster called the local group. But the universe stretches about 14 billion light years from us in all directions. So we can't locate a universe center. There does not seem to be any preferred motion or density in any direction.