Nope. Rebecca is the standard English spelling, although I maintain it’s dumb as shit to argue about transliteration. “Rebecca” is how it’s spelled in the Latin Vulgate, Wycliffe’s Bible, Young’s Literal Translation, the Bishop’s Bible, the American Standard Version and Revised Standard Version, the Darby Translation, LDS Scriptures, every Jewish bible I’ve ever seen, and lots of others not listed here. Google “Rebekah.” “Rebecca” is the first hit. That means one is standard and the other isn’t.