Not if they keep the Law, a very tall order, since most Jews today are secular in nature.
The Bible clearly has two Covenants, One with the Jew and one with the Christian.
Choose this day whom you will serve.
Interesting that Christ said, to an audience composed exclusively of believing Jews, "No one comes to the Father except thru me."
Christ made it quite clear that it was not possible for a human to follow the Law and earn salvation that way. That is exactly why he came. When he did, the old covenant with the Jews was replaced with a new improved model to which all men have access, including the Jews.
Not if they keep the Law
You need to read the Book of Romans. For example, Romas 3:20 states Therefore by the deeds of the law there shall no flesh be justified in his sight: for by the law is the knowledge of sin. No human descendant fathered by a man can keep the whole law, so no one can be saved by it. Only one man, Jesus, could keep it, and he was crucified in our stead. Basic Christian doctrine.