Yes they can offer peace. There was a peace deal (a truce) last November. Israel and Hamas agree to Gaza ceasefire after intense violenceI don't think that Hamas can offer peace. I think if anyone among their leaders tried that he would be killed and they would continue their suicidal attacks. Of course I might be wrong, but such is my opinion.
What suicidal attacks?
Israel holds 11,000 Palestinian prisoners, including 762 from Gaza.P. S. Having hostages in our day and age is not very good idea trying to gain legitimacy.