That’s a really cool idea but the connection would be really tenuous. Gudea was a single Sumerian king who ruled in Mesopotamia in the 22nd or 21st century and while Mesopotamia did have contact with the Levant for a long time, the name Judah which is the root of Judea is first attested in the Iron Age after the Bronze Age collapse, around the 7th or 8th century BCE. So different cultures and a long time span separating them