Amid a crackdown on Oakland parties and the student organizations hosting them, some groups are holding themselves to a higher standard. John Altvater, the vice president of recruitment for the Pi Lambda Phi fraternity, said his chapter has closely followed COVID-19 health rules and encourages all Greek life chapters and other organizations to follow them.

As Maxwell Gruver, a first-year at Louisiana State University, was wheeled into the hospital last month, his blood alcohol concentration was eight times the legal limit — nearly 0.5. Gruver, who was...