This article from Time Motto makes the claim that sleep deprivation will result in faster death than starvation.
In the long run, work is not more important than sleep. If you aren’t sure how important sleep is, think about this: You’ll die faster without sleep than you will without food.
However, the article linked to did not make any claims about dying, and instead discusses the drawbacks of sleep deprivation.
A similar Quora question also discusses the topic, but the answers are either poorly sourced or contradictory.
Is it true that sleep deprivation will kill you faster than starvation?