No, it is not bad to take a bath if you haven't had any sleep. In fact, taking a warm bath or shower can be a relaxing and soothing way to unwind and prepare for sleep.
However, if you are extremely sleep-deprived, taking a bath or shower may not be enough to overcome your exhaustion. It's important to prioritize getting enough sleep whenever possible, as lack of sleep can have negative effects on your physical and mental health.
If you are struggling to get enough sleep, it may be helpful to establish a regular sleep routine and practice good sleep hygiene habits, such as avoiding caffeine and electronics before bedtime, creating a comfortable sleep environment, and sticking to a consistent sleep schedule. Additionally, if you are experiencing chronic sleep problems, it may be helpful to speak with a healthcare professional for further guidance and support.