Yes, the Bible does say that God regretted creating man. This is found in Genesis 6:6-7.
Genesis 6:6-7 (NIV): "The Lord regretted that he had made human beings on the earth, and his heart was deeply troubled. So the Lord said, 'I will wipe from the face of the earth the human race I have created—and with them the animals, the birds and the creatures that move along the ground—for I regret that I have made them.'"
Different translations use slightly different wording, but the core meaning is consistent: God felt sorrow and regret because of the wickedness of humanity.