I think that there might in fact be a limit, but under normal circumstances, nobody will be rejected because of that.
For instance, if you'd like to become a military fighter pilot, you must be able to sit in the cockpit, without bumping your head all the time to the canopy, right. So, if you're going to be 2.10 meters ( about 7ft I guess), things might become hard...
But, I don't think thee's going to be a problem with your length. You'll do just fine
Ivan Coninx - Brussels Aviation Photography