It's a tricky question. Intelligence is based on varying levels of what one knows. In that case, my stepfather is a mechanic, and therefore knows quite a lot about machines, cars, and even computers, much more so than I know. However, there is quite a bit related to history, the English language, philosophy, and a numbe rof other things that I am quite sure he knows very little about. So you see, in some aspects, yes, I am smarter, but in others, I am not.
I think a more accurate question would be: Do you have the capacity to be smarter than you parents?
In that case, yes, I do, because I do not limit myself to what I wish to learn. My parents, however, have compunctions regarding regligion and politics that will always leave keep them from exploring new and interesting ideas.