According to the Yahwist writer, yes. The Elohist has different ideas.
No - we have one Tanakh - in which YHVH tells the people to call him YHVH - and states that that is his name.
Elohiym - Theos - and God - are all the same - and can be applied to any God as they JUST MEAN GOD.
The Elohiym of the Hebrew is named YHVH.
Exo 3:4 And when
YHVH saw that he turned aside to see, God called unto him out of the midst of the bush, and said, Moses, Moses. And he said, Here
am I.
Exo 3:15 And Elohiym said to Moses again,
You shall say this to the sons of Israel,
YHVH, the Elohiym of your fathers, the Elohiym of Abraham, the Elohiym of Isaac, and the Elohiym of Jacob, has sent me to you.
This is My name forever, and this is how I should be remembered from generation to generation.
Exo 3:16 Go and gather the elders of Israel together, and say unto them,
YHVH the Elohiym of your fathers, the Elohiym of Abraham, Isaac, and Jacob, hath appeared to me, saying, I have indeed visited you, and seen that which is done unto you in Egypt;