Something like...
DateTime today = new DateTime();
DateTime yesterday = today.minusDays(1);
Duration duration = new Duration(yesterday, today);
System.out.println(duration.getStandardDays());
System.out.println(duration.getStandardHours());
System.out.println(duration.getStandardMinutes());
Which outputs
1
24
1440
or
System.out.println(Minutes.minutesBetween(yesterday, today).getMinutes());
Which is probably more what you're after