The short answer is no. The honest answer is depends. Lots of thing can be barriers for becoming a professional programmer. Age is one of the factor associated

The short answer is no. The honest answer is depends. Lots of thing can be barriers for becoming a professional programmer. Age is one of the factor associated with lots of negative things. Your thinking could be slower than your prime time, and you might have much less energy to be focused on learning and coding. Your memory probably won't be that good. Even your eyes can become a problem, and your backs, necks. Also you might have more distractions in life. I am not saying those will definitively prevent all old people from becoming a professional programmer. But let's be honest, there are lots of negative things associated with being old and you will need to overcome them. There could be a few advantages though, but I think disadvantages are becoming more significant after 60.