No, because the “10 shevatim” are a myth. The gemara states as a matter of halacha that they don’t exist, and gives only three possibilities for what happened to them:
(1) Their exile only lasted a decade or two, until Yirmiyahu went to Chalach and Chavor and brought them back. If this is so, then most of us are probably descended from one or another of them.
(2) The first generation that was exiled had no children and died out. The only surviving members of those shevatim were those who were living in Yehuda at the time, or who found refuge there, and thus never went into exile with the rest of their tribes. Some of us are descended from them.
(3) The Sanhedrin, using the power the Torah gave it, declared them to be goyim. They can never come back. Again, the only Jewish members of those tribes are the descendants of those who never went into exile.