The age of a star is fairly irrelevent in the debate - Instead we need to look for what are known as population I stars. These stars formed with elements heavier than helium, thus allowing planetary formation, and consequently then the basic building blocks for life to accumulate.
We don't even know if life arose abiogenetically on this planet to suppose that it may arise somewhere else. That some stars in the universe enable conditions that support life might tell us where we should head when we destroy our own environment. But they say nothing at all about the chances of life arising in those solar systems. Its a very common mistake: to suppose life supporting = life arising.