Does "Hebrew" mean "Jew"? NO. The names came centuries apart.
"Hebrew" starts with Abram: "Abram the Hebrew" (Gen 14:13). Ivri, עִבְרִי / 𐤏𐤁𐤓𐤉, from 'avar, "to cross over."
It described a man who left Ur and crossed over at God's call.
עִבְרִי (Ivri / Hebrew, written in Paleo-Hebrew as 𐤏𐤁𐤓𐤉), comes from the primitive root verb עָבַר ('avar), which means "to cross over," "to pass through.
Etymologically, a Hebrew is literally "one who has crossed over".
In the Hebrew Bible, this term is first given to Abraham (אַבְרָם הָעִבְרִי, Abram the Hebrew) in Genesis 14:13 because he physically crossed over the Euphrates River from Mesopotamia to enter the Promised Land.
Judah, where the word "Jew" comes from, was Abram's great-grandson. He wasn't even born when Abram was first called a Hebrew.
"Jew" (Yehudi, "of Judah") doesn't appear until much later (2 Kings 16:6) and becomes common around the exile, in books like Esther and Nehemiah.
By then the names overlapped. Jeremiah 34:9 uses "Hebrew" and "Jew" for the same person, and Paul called himself both (Phil 3:5; Acts 21:39).
The order matters. The first Hebrew was a man counted righteous by faith (Gen 15:6), before Israel, before Judah, before any Jew.
The promise came first. Before there was a Hebrew, an Israelite, or a Jew. Before the nations. Before the Law.
God spoke it in the garden, and it was always about one Seed: Christ.
The names came from the promise, not the promise from the names.
(Gen 3:15; Gal 3:16–17)