Does life have a purpose?
Well, it depends. If this universe exists just by chance, an arbitrary encounter of random atoms colliding, then no. Because chance has no purpose.
But if this universe is not by chance and it has a creator, then this creator can tell us why the world was created and what its purpose is.
Let’s not confuse purpose with meaning. Meaning can be found in many ways but the purpose of life, its raison d’être, is only one. I have a shoe buffing machine in my room and it serves as a hat stand. Is that its purpose? No, I have found meaning, perhaps, for it to remain in my room. The purpose of a treadmill is exercise but many will find meaning using it as a clothes hanging device. Ever used a coffee mug as a paper weight? Is that its purpose?
When you get hired at a new job, you are sure to find out the purpose for which you were hired and then endeavor to reach that objective. What would happen if you ignored the purpose for which you were hired and instead found meaning in ensuring that the snack room was amply supplied or that the lobby was clean? You would probably be appreciated by many of your co-workers, but fired by your boss.
So how can we discover the purpose of life? A good place to start would be the manifesto given by its creator: The Torah.