Not so. Whereas the Old Testament definitely looked forward to the Messiah coming and their being a new covenant, the Israelites sacrificed animals for their atonement:
Lev 4:20 And he shall do with the bullock as he did with the bullock for a sin offering, so shall he do with this: and the priest shall make an atonement for them, and it shall be forgiven them.
Lev 4:26 And he shall burn all his fat upon the altar, as the fat of the sacrifice of peace offerings: and the priest shall make an atonement for him as concerning his sin, and it shall be forgiven him.
And their righteousness came from keeping all of the law of Moses:
Deu 6:24 And the LORD commanded us to do all these statutes, to fear the LORD our God, for our good always, that he might preserve us alive, as it is at this day.
Deu 6:25 And it shall be our righteousness, if we observe to do all these commandments before the LORD our God, as he hath commanded us.
There isn’t one drop of faith or grace in the old covenant law of Moses.
Scripture says the law held us captive until faith and grace came with the new covenant Jesus enacted.
Yes, Noah was saved by faith, and Abraham believed God for his justification, but both of them lived before the Mosaic covenant, which was solely about works of the law for righteousness, and not about having faith or getting any grace whatsoever.