I grab the current time
NSDate * now = [[NSDate alloc] init];
NSCalendar *cal = [NSCalendar currentCalendar];
NSDateComponents * comps = [cal components:NSYearCalendarUnit|NSMonthCalendarUnit|NSDayCalendarUnit fromDate:now];
And I can set the DatePicker to any values I desire
NSDate * date = [cal dateFromComponents:comps];
[self.off setDate:date animated:TRUE];
But how do I add a, say, 5 minutes to "now"?
Try this
NSDate *date = [[NSDate date] dateByAddingTimeInterval:5*60];