God did not tremble the earth during the time of Noah to destroy man off the earth then. Hebrews 12:25-27 reveals He shook this old earth once before, and Jeremiah 4:23-28 confirms it too, but that's not pointing to the flood of Noah's day. God strictly used a flood of waters during the time of Noah, which was actually a second flood, and part of this present earth world age. But the shaking of the old earth He did was prior to the time of Adam and Eve.
By the time of Adam and Eve, Satan as "that old serpent" (Revelation 12:9) was already in God's Eden as adversary against God. That means he had already fallen. The time when Satan was in Eden with Adam and Eve is part of this present earth world age preserved unto fire.
1st World Earth Age:
2 Peter 3:5-6
5 For this they willingly are ignorant of, that by the word of God the heavens were of old, and the earth standing out of the water and in the water:
6 Whereby the world that then was, being overflowed with water, perished:
KJV
In the beginning God created the heavens and the earth, by The Word of God. He spoke and it was done. That was Genesis 1:1, and is specifically the idea Peter was talking about with the phrase in green.
The phrase in red is about the state of the earth at Genesis 1:2-9 with a flood of waters over all of it, destroying that first world age; and then God moving those waters upon the earth to form the sky atmosphere of 'today' around the earth. The rest of those waters He moved around on the earth until the dry land appeared, which was the forming of today's oceans and seas. That's what that idea of the earth standing out of the water and in the water is about.
2nd World Earth Age (Today):
2 Peter 3:7
7 But the heavens and the earth, which are now, by the same word are kept in store, reserved unto fire against the day of judgment and perdition of ungodly men.
KJV
That 2nd world earth age started at Genesis 1:2 with God moving the flood waters on the earth to form today's sky, and the waters on the earth to form today's oceans. The flood of Noah's day later did not alter God's setting up of this 2nd world earth age. Noah's flood simply brought another flood upon the earth's surface, but it did not kill the earth's seeds of Genesis 1, because the dove brought back an olive branch to Noah after the waters had receded (Genesis 8:11).
3rd World Earth Age (yet future):
2 Peter 3:13
13 Nevertheless we, according to His promise, look for new heavens and a new earth, wherein dwelleth righteousness.
KJV
This 3rd world earth age is still future to us, and will not begin until after Christ's future 1,000 years reign on earth. It will come after Satan and the wicked are destroyed in the future "lake of fire" (Revelation 20). It represents God's Eternity evermore.
That is the subject Apostle Peter is covering in those 2 Peter 3 verses.
By the time of Adam and Eve, the seed of sin was already sown, by Satan, when he rebelled against God in coveting His throne (Isaiah 14). God cast him out. Lord Jesus said He beheld Satan fall as lightning from heaven (Luke 10:18). That happened in that old world, the 1st world earth age between Genesis 1:1 and Genesis 1:2. This is why then the power of death was assigned to Satan (Hebrews 2:14). This is why "Death" is even one of Satan's titles as shown in Revelation 6:8. The 1 John 3:8 Scripture tells us that those who sin are of the devil, because the devil sinned from the beginning. Revelation 21:4 reveals in the world to come after Satan and the lake of fire, there will be no more death.
Once all those above concepts from the written Scripture are understood, then it's easy to know that by the time of Adam and Eve in God's Eden, the devil had already sinned and death had been assigned to him AND to this 2nd world earth age, which Adam and Eve were made in the flesh. In other words, because of Adam and Eve's flesh, sin was already prepared for Adam's fall. It had to happen, otherwise Christ being ordained to redeem us from sin and thus death could not have gone forth. So Adam and Eve were not the originators of the very first sin, the devil was. It's only that the very first sin 'in the flesh' was begun by Adam and Eve, and thus imparted to all men born in the flesh.