What I mean is if a question is answered but another question arises on the same subject. Is it possible to have something set on a question that would allow a follow up question to be displayed on the original page, as another question and not as a comment?
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This already happens.
If you mention another question (say Should there be a way to link questions? at random), that other question will have a "Linked" section on the right side-bar, pointing back to here.
Nothing special needs to be done for that. If you want to post a "follow-up" question, just link to the other question in your post, the link back is automatic.