Hi, I feel the answer is yes since the idea of the flood was not Noah's idea in the first place, but he was appointed with something and was only allowed to carry out the commission. The Bible remarks that Noah did as he was told, Genesis 6:22. So there really was nothing else to do. Either Noah believed or he did not. In the Bible story Noah was not given more details so there was no discussion between himself and God. This story led to a Judgment Day and to survivors all inquiries and decisions were made by Almighty God alone.
You don’t think Noah should have asked God why? Tried to save some other people? Negotiated with God? Just let them all die like the Nazi soldiers who followed Hitler’s command? Why did God show remorse?
This is simply just a story or an example of Judgment of ungodly people, there was nothing for Noah to do because that’s what judgment means, Genesis 6:5–7. There is no information that tells if Noah had the ability to judge anyone. There is no information that says Noah had the power to judge. If Noah was told only to build a boat then he was also judged like everyone else and told how to protect himself and certain people along with him. So in the long run the ability and power of judging is what we are identifying here. Noah was simply a servant he had been judged “Clean” and told to make a boat he can only do that, Genesis 6:8-9.
Isn't the point of free will that people do have to exercise their own judgment?
Then what is free will? He made absolutely no attempt to save his neighbors. You think that’s alright?
What makes you think Noah didn't try to save anyone else? As someone referenced in another answer, 2 Peter 2:5 refers to Noah as "a preacher of righteousness" in a passage referencing the flood. That would strongly indicate that Noah DID try to warn others, but none were willing to repent and join Noah on the ark. Much like many atheists today like Richard Dawkins (or the atheists answering Christianity-related questions here on Quora) who refuse to listen to preachers but instead mock and deride Christianity as myths and fairy tales.
We see a similar story with the destruction of the city of Jericho. In that story, Rahab the harlot, believed the Israelite messengers and helped them instead of turning them over to the king of Jericho. Because of this, her family alone was spared from the destruction and became grafted into the Israelite people. She even become one of the ancestors in the genealogies of Jesus.
Likewise, all of us today are sinners worthy of destruction, but any of us who are willing to repent and turn away from our sin toward God may be saved from that pending destruction.