(1) Background: Family is considered as one of the most important elements for the transmission of healthy habits that improve the lives of students. For this reason, the present study aims to describe the degree of family functionality, emotional intelligence, Mediterranean diet adherence, and extra-curricular physical activity engagement. A further aim is to perform a correlational analysis between these variables. (2) Methods: To this end, an ad hoc questionnaire was used, alongside the APGAR, KIDMED, and Trait Meta Mood Scale (TMMS-24). (3) Results: Finally, the data suggest that a high percentage of students need to improve their diet. Further, students reporting severe family dysfunction showed worse outcomes. Thus, levels of emotional clarity were lower when family functionality was poor. Poor diet quality was also associated with lower emotional attention, with Mediterranean diet adherence being positively related to emotional clarity and repair, as well as normal family functionality. (4) Conclusions: Boys showed higher levels of adherence to the Mediterranean diet adherence, while girls reported higher family functionality. Thus, compliance with the minimum recommendations for physical activity engagement was associated with adequate adherence to the Mediterranean diet. The importance of diet for obtaining an optimal physical condition, adequate emotional state, and family functionality is highlighted.