The Talmud discusses the original prohibition against eating meat for Adam, and how Noah's generation was granted permission. It records the view that Adam was not permitted to eat meat, making permission to kill animals for food a post-Flood development.
אָמַר רַב יְהוּדָה אָמַר רַב: אָדָם הָרִאשׁוֹן לֹא הוּתַּר לוֹ בָּשָׂר לַאֲכִילָה, דִּכְתִיב: ״לָכֶם יִהְיֶה לְאׇכְלָה וּלְכׇל חַיַּת הָאָרֶץ״, וְלֹא חַיַּת הָאָרֶץ לָכֶם. וּכְשֶׁבָּאוּ בְּנֵי נֹחַ, הִתִּיר לָהֶם, שֶׁנֶּאֱמַר: ״כְּיֶרֶק עֵשֶׂב נָתַתִּי לָכֶם אֶת כֹּל״. יָכוֹל לֹא יְהֵא אֵבֶר מִן הַחַי נוֹהֵג בּוֹ? תַּלְמוּד לוֹמַר: ״אַךְ בָּשָׂר בְּנַפְשׁוֹ דָמוֹ לֹא תֹאכֵלוּ״. יָכוֹל אַף לִשְׁרָצִים? תַּלְמוּד לוֹמַר: ״אַךְ״.
§ Rav Yehuda says that Rav says: Meat was not permitted to Adam, the first man, for consumption, as it is written: “And God said: Behold, I have given you every herb that brings forth seed, which is upon the face of all the earth, and every tree, in which is the fruit of a tree that gives forth seed; for you it shall be for food, and for every animal of the earth, and for every fowl of the air, and for everything that creeps upon the earth, in which there is a living soul, every green herb for food. And it was so” (Genesis 1:29–30). It is derived God told Adam: Eating vegetation is permitted to people and animals, but eating the animals of the earth is not permitted to you. But when the children of Noah came, God permitted them to eat meat; as it is stated: “Every moving thing that lives shall be for food for you; as the green herb I have given you all” (Genesis 9:3). One might have thought that accordingly, even the prohibition against eating a limb from a living animal does not apply to the descendants of Noah; therefore the verse states: “Only flesh with its life, which is its blood, you shall not eat” (Genesis 9:4). One might have thought that the prohibition against eating a limb from a living animal applies even to creeping animals; therefore the verse states “only,” a term used for exclusion, indicating that creeping animals are not included.