No. 똑똑하다 means “smart” as in one’s natural ability to learn and retain things. 유식하다 means “knowledgeable” as in educated.
Tag: 식
법

Law
법 = law
법학 = law, Jurisprudence
법률 = law
법률 용어 = law term
법률 위반 = breach of the law
법률에 위배되는 = unlawful, illegal, against the law
법원 = court
헌법 = constitution
불법 = unlawfulness, illegality
불법적 = illegal, unlawful
합법 = lawfulness, legality
합법적 = lawful, legal
법학도 = law student
법학대학/법대 = law school

Method
문법 = grammar
법칙 = rule
방법 = way, method
방식 = way, means, method
공법 = method of construction
기법 = technique
방안 = way, plan
식

Eat
음식 = food
식사 = meal
식비 = food expenses
식탁 = dinner table
간식 = snack (small meal)
야식 = midnight snack
식욕 = appetite, desire to eat
금식(하다) = to fast

Ceremony
결혼식 = wedding ceremony
약혼식 = engagement ceremony
입학식 = (school) entrance ceremony
졸업식 = graduation ceremony
시상식 = ceremony of awarding prizes
장례식 = funeral ceremony

Method, way
방식 = form, method
신식 = modern, a new style, a new method
구식 = old style, old method
공식 = formal, official
비공식 = unofficial

Knowledge
상식 = common sense
무식(하다) = ignorant
유식(하다) = intelligent
박식(하다) = wide(extensive) knowledge
무

Is not, does not exist
무교 = no religion
무선 = wireless
무료 = free, no charge
무례(하다) = impolite, rude
연중무휴 = open throughout the year (store)
무능력(하다), 무능(하다) = incompetent (no ability)
무식(하다) = ignorant
무관심(하다) = unconcerned, have no interest in
무중력 = zero gravity
무한 = infinity (한 = end, limit)
무조건(하다) = unconditional (조건 = condition)

Work
공무원 = someone who works for the government
근무(하다) = service, work
업무 = business
의무 = duty
사무실 = office room
교무실 = teacher´s room
유

Be, exist
부유(하다) = wealthy
유명하다 = famous, well-known
유리(하다) = advantage, Profitable
유무 = existence/non-existence
유식(하다) = intelligent (식 = knowledge, 무식(하다) = ignorant)

Young child, infant
유아기 = early childhood
유치원 = kindergarten
유치하다 = childish
유충 = larva

Leave behind
유전(되다) = to be hereditary
유산 = inheritance
유언 = one´s dying wish, one´s last words

Stay
유학(하다/가다) = study abroad
유학생 = student studying abroad
유급(하다) = stay back in the class
유급생 = student remaining in the same class