My youngest son is ADHD and is in first grade. He is doing third grade work and reading books i can read with out a problem. So i say yes it is very possible for a child to have ADHD and be gifted at the same time. The doctor that sees my son says its common because children with ADHD brains run so fast that they can pick up the academics quickly and understand it. It when they get to far up in their academic that they get bored because then they aren't challenged enough.