Genesis in Daily Holy Bible Reading

Are the claims of the Jews about the Land of Israel false?

Not until you read this chapter, where it is repeated.

“The Return to Eretz Yisrael”
“Abraham and Lot Part Ways”
“The Repetition of the Promise”

He proceeded on his journeys from the south to Beth-el to the place where his tent had been at first, between Beth-el and Ai.
13:3
So Abram said to Lot: “Please let there be no strife between me and you, and between my herdsmen and your herdsmen, for we are kinsmen.
:8
So Lot raised his eyes and saw the entire plain of the Jordan that it was well watered everywhere – before Hashem destroyed Sodom and Gomorrah – like the garden of Hashem, like the land of Egypt, going toward Zoar.
:10
Abram dwelled in the land of Canaan while Lot dwelled in the cities of the plain and pitched tents as far as Sodom.
:12
Now the people of Sodom were wicked and sinful toward Hashem, exceedingly.
:13
Hashem said to Abram after Lot had parted from him, “Raise now your eyes and look out from where you are: northward, southward, eastward and westward. For all the land that you see, to you will I give it, and to your descendants forever.
:14-15
Arise, walk about the land through its length and breadth! For to you will I give it.”
:17
And Abraham moved his tent and came and dwelled in the plains of Mamre which are in Hebron; and he built there an altar to Hashem.
:18

1 And Abram came up from Egypt, he and his wife and all that was his, and Lot with him, to the south.
2 And Abram was very heavy with cattle, with silver, and with gold.
3 And he went on his journeys, from the south and until Beth el, until the place where his tent had been previously, between Beth el and between Ai.
4 To the place of the altar that he had made at first, and Abram called there in the name of the Lord.
5 And also Lot, who went with Abram, had flocks and cattle and tents.
6 And the land did not bear them to dwell together, for their possessions were many, and they could not dwell together.
7 And there was a quarrel between the herdsmen of Abram’s cattle and between the herdsmen of Lot’s cattle, and the Canaanites and the Perizzites were then dwelling in the land.
8 And Abram said to Lot, “Please let there be no quarrel between me and between you and between my herdsmen and between your herdsmen, for we are kinsmen.
9 Is not all the land before you? Please part from me; if [you go] left, I will go right, and if [you go] right, I will go left.”
10 And Lot raised his eyes, and he saw the entire plain of the Jordan, that it was entirely watered; before the Lord destroyed Sodom and Gomorrah, like the garden of the Lord, like the land of Egypt, as you come to Zoar.
11 And Lot chose for himself the entire plain of the Jordan, and Lot traveled from the east, and they parted from one another.
12 Abram dwelt in the land of Canaan, and Lot dwelt in the cities of the plain, and he pitched his tents until Sodom.
13 And the people of Sodom were very evil and sinful against the Lord.
14 And the Lord said to Abram after Lot had parted from him, “Please raise your eyes and see, from the place where you are, northward and southward and eastward and westward.
15 For all the land that you see I will give to you and to your seed to eternity.
16 And I will make your seed like the dust of the earth, so that if a man will be able to count the dust of the earth, so will your seed be counted.
17 Rise, walk in the land, to its length and to its breadth, for I will give it to you.”
18 And Abram pitched his tents, and he came, and he dwelt in the plain of Mamre, which is in Hebron, and there he built an altar to the Lord.