つまりこう!
public static boolean checkDate(String hizuke) {
 DateTimeFormatter[] formats = {
  DateTimeFormatter.ofPattern("uuuu-MM-dd").withResolverStyle(ResolverStyle.STRICT),
  DateTimeFormatter.ofPattern("uuuu/MM/dd").withResolverStyle(ResolverStyle.STRICT)
 };
 for (DateTimeFormatter format : formats) {
  try {
   format.parse(hizuke);
   return true;
  } catch (DateTimeParseException e) {
  }
 }
 return false;
}