There is no indication that your son displays ADHD. And, to be truthful, it is often a risky venture to try to diagnose such a condition in a child as young as three in any case. By nature children this age are active and distractible and not in possession of a particularly long span of attention. Be sure he is having opportunities to be with peers in recreational situations. Social skills can improve only with 'practice'.
As a social worker myself I can say that this does not sound like a case of early adhd. This seems to be normal behavior for a child of his age. I dont think you have anything to worry about at this point. You may wish to observe his behaviors around his peers, especially if he is in a Pre-K program, and to try to get him more exposure to kids his age so he can begin to develop socialization skills so critical to his development. Try a church group, Pre-K if he isnt in one, or a sitter with kids his age.
Hope that helps!