I guess anything is possible. Zion could also just rent the rig out to them..
Givot found light sweet crude, over a 1 million barrels of it. They HAVE a production license already. They just ran out of funds and the technologies where not quite ready. I think it was Meged 6 that was at one point 800 barrels a day.
I did a lot of reading on them and saved the materials on my site. It was eye-opening to say the least as they did 'frack' in some sense.
Just north is the Golan. The layers of interest there are some 300 feet thick??