The correct verb to use in this sentence is "conoce".
The verb "conocer" is used to indicate familiarity with people, places or things. In this sentence, we are talking about knowing or being familiar with a region (Latinoamérica).
Therefore, the correct sentence is: ¿Tu familia conoce Latinoamérica? ¡Qué maravilla! (Does your family know Latin America? How wonderful!)