Sure there is. We are finite beings. Any action we undertake has finite consequences. Infinite punishment for a finite sin is unjust.
I'm not sure what you mean by finite, and why you use that as an excuse. I know that finite means limited. Can you clarify the connection that you see?
Particluarly, what part of your finiteness makes you incapable of understanding the relationship between you and G-d, or you and Heaven and you and Hell?
Shalom.