No — not addressed in Scripture. Principles of moderation and avoiding enslavement apply (1 Corinthians 6:12) but moderate coffee and tea consumption has no biblical prohibition. 85/100 Spiritually Safe.
Caffeine is not addressed in Scripture and there is no biblical basis for considering its moderate consumption sinful. Caffeine — present in coffee, tea, chocolate, and many natural sources — has been consumed by humans for centuries, including throughout the entire period of church history in which biblical principles were being applied to daily life. No serious Christian theological tradition has considered caffeine consumption sinful.
While caffeine is not sinful, biblical principles Christians apply to any substance are relevant. 1 Corinthians 6:12: "I will not be mastered by anything." Caffeine addiction — physiological dependence that produces headaches and irritability without it — is worth attention from a stewardship perspective. Being mastered by any substance, even a mild and culturally universal one, is spiritually relevant. However, the vast majority of coffee and tea drinkers do not approach anything near problematic dependence.
This question arises most often from Seventh-day Adventists (whose health message includes caffeine avoidance), Mormons (who avoid coffee and tea), and some holiness traditions. For mainstream evangelical Christians, this is not a significant question — moderate coffee and tea consumption is entirely appropriate. For more demanding substance questions see our smoking and gambling guides.
For a biblical treatment: GotQuestions on caffeine.
Questions about sin fall into two categories: things explicitly called sin in Scripture, and disputable matters (Romans 14-15) where Christians with different convictions should respect each other's consciences. Even when something isn't explicitly sinful: Does this practice reflect Christ's lordship over all of life (Colossians 3:17)? Is it beneficial — not just permissible? (1 Corinthians 10:23). Score: 85/100 Spiritually Safe.
See our Is It a Sin? hub. GotQuestions and the Gospel Coalition provide thorough evangelical analysis.