My first thought was that the question cannot be answered without knowing what we must fail at inevitably for life to be futile. I looked up futile to be sure:

"incapable of producing any useful result; pointless."

As I feared, it begs the question: what is considered useful?

If it is leaving the world a better (healthier, more peaceful, more ccmfrtable) place than when you found it, no, life is not futile.

If the goal is personal happiness or at least contentment, no, life is not futile, though it certainly feels that way during clinical depression. (Long, dark winters can do that -- look up S.A.D.)