Absolutely.
You’re sensitive to caffeine because you never consume it. Your body may be a bit more sensitive than average.
When you drink one, besides the effects you perceive, the caffeine will interrupt your sleep. Particularly if you drink it later in the day, because it’s hotter in the afternoon than morning. The half life of caffeine is the half life. A massive dose of caffeine takes time to get out of your system, and while the decline is exponential, it’s still going to be meaningfully present for 12+ hrs, which is definitely going to interrupt your sleep.
Add on a lot of cortisol and probably some extra activity, which could be physical or psychological, and you got a recipe for exhaustion.