It depends on the age of the child for certain requests, but generally a judge is more apt to allow an early withdrawal of settlement funds from a minor child's blocked account if it directly benefits a child for school tuition, or an education camp (like a computer camp), and in some cases, an automobile for college, or school, or the like.  

If a substantial need for the early withdrawal is shown, a judge will still scrutinize the request for the best interests of the child.  If a child displays exceptional talent in either sports, or education, and certain funds are needed to aid the child in this endeavor then a judge is more likely to agree to allow a portion of the settlement funds for such a request.  As with everything else, communication is vital, and substantial proof is needed; and it is best that the minor child attend the court hearing as well.