No, indeed.

Could we be in a world
Where no wars were fought?
No famine existed?
No death occurred?
Simply, the answer is no.
Unhappiness is a need.
Let me repeat:
A necessity
To be human.
To be human is to feel
Love, joy, compassion,
Hate, envy, grief.
Without death,
We would kill not ourselves
But our home
Our Earth.
Without anger,
We would not change.
Injustice a regular thing.

Could we truly live in a world
With no unhappiness?

Simply, the answer is no.