Yes, if we are truly sorry, acknowledging our sins and seeking His pardon, God will forgive them because He is all merciful. By the power of His grace, God offers Salvation to all men. We especially encounter God’s merciful forgiveness in the Sacrament of Penance.
Jesus, our Savior, was sent by the Father to suffer, die, and rise from the dead in order to save us from sin. He is our Redeemer because He paid the price for our sins, and thus freed us from slavery to sin and death.
God will pardon us if we are truly sorry for our sins and want to change our sinful ways. We can always look to God for merciful forgiveness.