I'm 5'11", so I can't give you an authoritative answer. I hope that some short kayakers will reply to report on their experiences, and/or the experiences of their children. But I can tell you that the pedals on Hobie Mirage Drives adjust forward and backward to accommodate people of different heights, and I suspect that you won't have any difficulty adjusting the pedals so that you can pedal comfortably. The distance between the seats and the pedals in the various models of Hobie pedal kayaks is basically identical, so if you can find any fairly current model Mirage Drive kayak, you can probably get a good idea of whether the pedals can be adjusted adequately for your height.
Why are you thinking of buying a 14' Pro Angler? It's a large and heavy kayak, kind of a mini bass boat. Have you looked at the Outback and other smaller and lighter Hobie kayaks? They'd be easier to move around when launching and taking out, they are faster and easier to pedal, they are way easier to paddle in those situations where you need to paddle, they are way easier to get back into if you end up in the water,you could launch from launch sites which don't have a boat ramp, and you could easily car top them. See, for example, my post at
https://www.northwestkayakanglers.com/i ... #msg204958. I car top my 12' PA 360 the same way, but I wouldn't try to car top a 14" PA that way.