Actually, no. Just read the law.First off, you are a Jew is your mother was a Jew but for allyah you are only a Jew if your mother was Jewish or you converted. Even if you wee Jewish, allyah is an opportunity, not a right. Even if you were a rabbi who can trace your roots back to ancient times, if you are considered an undesirable person, you will not have a right to return.
Israeli citizenship by descent | WRAI
What family ties do you need to have in order to qualify for an Israeli citizenship by descent? List of documents for repatriation through proof of Jewish ancestry.
welcome-israel.com
Some of my relatives, who had Jewish father and Ukrainian mother (as myself) successfully obtained Israeli citizenship. Yes, they are not Jews by Israel law (quite stupid thing, if you ask me, because most of Ashkenazi Jews had European mtDNA), but they are "children of Jews".