Yes! If they were forgiven to this extent in the OT, why would anyone think they would be forgiven any less in the NT in light of the cross?
5But to the one who does not work, but believes in Him who justifies the ungodly, his faith is credited as righteousness,
6just as David also speaks of the blessing on the man to whom God credits righteousness apart from works:
7BLESSED ARE THOSE WHOSE LAWLESS DEEDS HAVE BEEN FORGIVEN, AND WHOSE SINS HAVE BEEN COVERED.
8BLESSED IS THE MAN WHOSE SIN THE LORD WILL NOT TAKE INTO ACCOUNT.
Romans 4:5-8 NASB
And Romans 8:1 (if my memory serves) there is then NO condemnation for those who are in Christ Jesus.