If the pool water is cloudy can you swim in it?

The water turned green probably due to algae growth. The algae grew due to a lack of santizer (chlorine or other). While the alage was growing, other bacteria or organisms probably also grew, you just can't see them.

Therefore, it generally isn't recommended to swim in a pool while it's green because the water may not be entirely sanitary.

This is true even if the chlorine level is sufficient. You have to give the chlorine enough time to kill everything.

Hope this helps ...