Can someone who is introverted still have adhd?

Absolutely: Adhd is quite independent of personality traits such as introversion or extroversion. Especially those with mainly inattentive adhd often are quite shy and retiring, "disappearing into the woodwork." those with combined-type adhd sometimes compensate for social awkwardness by becoming the class clown, but many grow anxious and depressed and withdrawn, with few or no friends.

Absolutely. : Being introverted can be a personality type or a symptom of adhd or social anxiety. The problem in adhd is executive cortical management or control of brain activity. Over control is the other side of the coin of under control.