Abba is Hebrew for father. It was also Aramaic for Father.
My father is Jewish too.
Depending on the sect of Judaism, that either makes you Jewish or not Jewish.
Some sects accept patrilineal lineage as Jewish, and others ( Orthodox, Hareidi, etc) use the Halacha rules for guidance that specifies the mother is the source of Jewish heritage. Reform and Karaites accept patrilineal descent as Jewish too IIRC, and maybe Reconstructionists, but I dont remember.
Similar to Abu (Ab), which is father in Arabic. Some scholars believe that Allah came from the Hebrew word Elohim (plural of El) meaning God. It's all very interesting, I plan on learning Hebrew after I get a good grasp on Arabic.
I'm not sure what sect of Judaism my father is from, I'll have to find out. My mother always tells me I am not Jewish when I try to say I am, so I guess I am not. ;) I still like to believe that I am amongst the chosen! :)