In the periods before serious human states as in the period before Sumer, this would have been possible. As the centers of population where in Syria in areas like Halab, Mari and Dimshaq. However, the issues come about as the geopolitical positioning of the nations surrounding it make it too difficult for this sort of state to form after say 1800 BCE.
The reason for this is that already by this time we have Hittite, Egyptian kingdoms and Sumer/Akkad engaging I wars from all sides of the Levant. This had a balkanizing effect on the Levant as a serious state could not form as none of the large states to its periphery could allow such a state to form. This canbe seen between the Hittite wars against Halab and its Syrian coalition of sorts which was brutally put to the sword. When compared to the states surrounding it, the Levant has no defense.
Egypt is protected to the vast deserts or the extremes to its east and west deterring invasion and a vast tribal land and sparsely populated area between it and Punt.
Iraq has the luxury of the Zagros mountains (which often times tribes came from to conquer Iraq, Kassites for example) and relatively empty Iran outside of Elam.
Hattusa possessed mountain lands to its north which for the most part hemmed in the Kaska and other dangerous people. Notice the land of Pala due to the lack of natural defense was overtaken by the Kaska.
The Levant however borders all these large population bases whilst only having one natural defense in the desert to its south which is unfortunately to the tiny Arab populations. Therefore the Levant is positioned to be conquered except Ugarit, Ebla and the Phoenician cities on the coast.
We also should realize that Bronze Age Levant is one of the bloodiest places I can think of in terms of intermittent wars and invasions from opposing states, far different from that of the farming paradise of Mari or Terqa in pre Sumerian times.
