Just some info for you. You stop growing at 21. So maybe you get a inch.
But that should not be of a problem.
I am about 6´4 and I have no problems so far.
They way I see it you may encounter two problems.
You may not fit in some aircrafts. I have about 1600 hours in various aircrafts and so far I have not ecountered any problems due to my height although I think I may run in to problems if I would fly a learjet or a metro.
I am not only tall but also heavy built. Did ones spin training in a cessna 152 acrobatic with an instructor. The instructor almost sufficated when I pushed him against the window
For employment you may run in to problems with legacy airlines like BA, lufthansa, air france etc, if you are over 6´4.
On the other hand if you would apply while having widebody (heavy jet) experience I doubt that they would remark on your height.
Basicly I wouldn't worry so much about the height unless you absolutely want to fly for BA.
Good luck with your flying career and may the force be with you
