Yes, absolutely! God promises forgiveness to those who come to Him in faith. It's one of the most beautiful and fundamental truths in the Bible.
Jesus sees our past guilt, speaks pardon, and we shouldn't doubt His love. We can lay our feelings of guilt at the foot of the cross. He is faithful and just to forgive us and cleanse us from all unrighteousness.
If you confess your sins, He is faithful and just to forgive you your sins and to cleanse you from all unrighteousness. 1 John 1:9
God accepts a broken and contrite heart and offers free pardon. He offers to adopt you into His family, with His grace to help your weakness.
The Lord declares, "I, even I, am he that blotteth out thy transgressions for mine own sake, and will not remember thy sins." Isaiah 43:25