Gen. 6: 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.”
I think yes.
Well, if nothing else, at least this refutes any notions that God is "perfect" or "all-knowing." It also calls into question any thoughts of God's "divine plan" when passages like this indicate that He's just making things up as He goes along. A lot of people claim that religion gives their lives "purpose," but what purpose? Here, God is implying that He didn't even have a purpose, that He operates purely on whimsy and frivolity, indicating an inconsistent and unstable personality type.
God may still regret us, although it seems that He could have intervened or interceded at any time. He could have given more hands-on guidance and management
before it got to the point where He felt he had to wipe everyone out. How many catastrophes have humans had to endure? How many wars and atrocities have humans suffered through? How many diseases and famines have we endured? How many acts of evil and utter human depravity have been recorded throughout history? How many billions of people have gotten down on their knees and prayed and begged for God's guidance and help during dark times, only to be ignored and left abandoned?
It seems rather disingenuous of God to come down and say "you all suck" when so many have tried to reach out to Him and beg Him for guidance and to help improve our species and the world in which we live. If God has any cause for regret, it's His own apathy and indifference. Every time someone prays to God for help and is ignored, God is contributing to the growth of evil on the planet. Think of how many "evil" people might have been changed and put on a different path with just a few minor tweaks earlier in life.
So, yes, God can regret all He wants. And yes, humans probably do suck due to various design flaws in how we came about. God's work. All humans have ever tried to do is play the hand they've been dealt in this barely-livable environment that God has created. The fact that we've been able to survive, thrive, and progress as we have under such conditions should be considered a resounding success in God's eyes.