Absolutely! The reason is that any tire would lose tread depth over time, which is crucial in rainy conditions. More tread depth (deeper grooves) means the tire could channel more water out from the tread, helping with traction and grip. Moreover, the tire compound also loses its elasticity over time, which can also degrade the overall wet performance.
Thus, if your tires are older and worn out, you should drive more carefully when it rains and start thinking about replacing them with a new set.