Yes, it is completely normal to not feel any movement or other sensations at 13 weeks and 4 days of pregnancy, especially for first-time moms. Fetal movements are usually felt between 18-25 weeks of pregnancy. At this stage, the baby is still small and their movements may not be strong enough for you to notice. Additionally, factors such as the position of the placenta can also affect how early you feel movement. If you have any concerns or if you experience severe pain or bleeding, it's always best to consult your healthcare provider for reassurance and guidance.