Yes because of what they do before they die
Chillingworth gives all his wealth to pearl before he dies.
Pearl is now the richest person in New England. Pearl quotes “sad from chillingworth's death.” This leads to why the debt was paid. The debt was paid and pearl was free. Pearl quotes “sin paid its debt to the conscience.” The sin was paid off and now Hester and Dimmesdale are next.
Hester buried next to Dimmesdale.
Hester requested to be buried next to Dimmesdale. “the dust off the two sleepers had no right to mingle, even in death.” They were buried next to each other now what happens next. They share the same headstone now. “they have the same “A” on the headstones.
That’s my input on are they forgiven and my essay