Yes, that is completely normal for the TDaP shot. Put ice on the swelling and it should go down in a few days. If it gets worse after a few days, a doctor's visit is in order.
Thank you it is very tender I just got the shot on Monday.
Mine was sore for 2 weeks. Worse at the beginning, like I could barely lift my arm, and there was a lump that felt like half a golf ball in my arm. It passed, though. Eventually.