Can anyone be saved by the Law?
No; the Law condemns everyone
Galatians 3:10-11: All who rely on observing the law are under a curse, for it is written: “Cursed is everyone who does not continue to do everything written in the Book of the Law.” Clearly no one is justified before God by the Law. (244)
From page 96, question 75, Luther’s Small Catechism with Explanation