Can Good Works Pay For The Penalty Of Our Sins?
No, because sin, every single sin, is a heinous spiritual crime against God. It's not a minor offense that can be settled by doing "community service" so to speak.
A man who deserves the death penalty and yet is made to pay up his crime by picking trash, working at charitable institutions, and participating in community projects has not adequately fulfilled the demands of justice.
Sin is no light matter. Death is its penalty. And so, the Lord Jesus Christ came to die for our sins. His death was a must. And it's only through His death on the cross that the demands of justice can truly be satisfied.
Avail of it, by trusting in it.