Yes, you can fall asleep with incense burning. Many people find the scent of certain types of incense calming and soothing, which can help them relax and drift off into a peaceful sleep. However, it's important to ensure that the area is well ventilated when burning incense, as some synthetic scents could potentially be hazardous if inhaled in large quantities. Additionally, it's also important to check with your doctor before using any incense.