Yes. Some tree would not have survived drowning for such a long period.
However, these trees would have survived by means of their seed that would have been in the earth. Genesis 1:11
Then God said, “Let the land produce vegetation: seed-bearing plants and trees on the land that bear fruit with seed in it, according to their various kinds.” And it was so.
Wherever the waters dislodged and carried these seed, they would sprout anew.
Some trees can survive being submerged under water for months or even years. I'm not sure if Olive trees back in Noah's day had these special properties, in order to survive.
They didn't need to survive though.
A seed deposited in a mountainous region could have sprouted, and
grown on a mountain side.
Mediterranean Olive Trees
The first edition of the 2008 publication of the
Advances in Horticultural Science journal reports,
Following planting in March 1998, plots of three olive trees with four replicates per variety were used in the experiment. Average growth rates ranged from 0.5 to 6.7 mm/day for tree height and from 0.4 to 2.2 mm/day for the apex within the year.[1]
That means that in 30 days an olive tree could grow from 0.59 inches to 7.9 inches in height. That is, an olive tree could easily sprout a leaf in 30 days.
Noah had to make his way down a mountain. So, he did not need to wait for the waters to have completely dried off the earth.
Genesis 8:3-5
3 The water receded steadily from the earth. At the end of the hundred and fifty days the water had gone down, 4 and on the seventeenth day of the seventh month the ark came to rest on the mountains of Ararat. 5 The waters continued to recede until the tenth month, and on the first day of the tenth month the tops of the mountains became visible.
Counting from here - the first day of the tenth month...
Genesis 8:6-9
6 After forty days Noah opened a window he had made in the ark 7 and sent out a raven, and it kept flying back and forth until the water had dried up from the earth.
8 Then he sent out a dove to see if the water had receded from the surface of the ground. 9 But the dove could find nowhere to perch because there was water over all the surface of the earth; so it returned to Noah in the ark. He reached out his hand and took the dove and brought it back to himself in the ark.
The Bible does not tell us how many days the raven flew back and forth. Nor does it tell us how long Noah waited before sending out the dove.
This could have been a period of two weeks.
Genesis 8:10-12
10 He waited seven more days and again sent out the dove from the ark. 11 When the dove returned to him in the evening, there in its beak was a freshly plucked olive leaf! Then Noah knew that the water had receded from the earth. 12 He waited seven more days and sent the dove out again, but this time it did not return to him.
After fourteen more days, the dove found somewhere to perch. Not the ground, because according to Genesis 8:13, 14
13 By the first day of the first month of Noah’s six hundred and first year, the water had dried up from the earth. Noah then removed the covering from the ark and saw that the surface of the ground was dry. 14 By the twenty-seventh day of the second month the earth was completely dry.
It took two whole months for the waters to dry off the earth, and yet another month and twenty seven days, for the earth to completely dry.
Our calculations show however, that there was enough time - at least two months (60 days) - for an olive tree to grow and sprout leaves.
