No.

After God flooded the whole world, he famously gave us the rainbow as a sign that he would never destroy all life on earth in a flood again. But that’s not all. In the chapter before that, God went further, and declared that he will never again destroy all living creatures. So that even rules out the possibility that he’ll do it by some method other than a flood.

Yes.

God told Nahum that he would leave the lions of Ninevah no prey on the earth. What does that entail? Maybe it doesn’t necessarily mean that absolutely all animals on earth will die out, but it sure doesn’t sound promising. Even if he doesn’t mean actual lions, God is saying the people of Ninevah will have no more people on earth left to kill. Which means God must be planning to at least kill all the people on earth.

Which God confirms in Isaiah, when he says he will totally destroy all nations. Or maybe he just means he’ll destroy their armies? No, Zephaniah says God is going to consume the whole earth with fire and make a sudden end of all who live on the earth. So God is definitely going to destroy all the people on earth. And it sounds like he’s going to destroy all the animals too.

Which God confirms in that same chapter, saying he’ll sweep away everything from the face of the earth, man and beast, when he destroys all mankind on the face of the earth. And the New Testament agrees that the earth will be laid bare on the day of the Lord, when everything will be completely will be destroyed by fire.

Possible explanation

God won’t destroy all living creatures “again”, because he didn’t destroy all of them the first time. He just mistakenly said he did.