this is a straight forward task.
First you have to split the date into components.
NSDate *date = [NSDate date];
NSUInteger dateFlags = NSYearCalendarUnit | NSMonthCalendarUnit | NSDayCalendarUnit;
NSDateComponents *components = [[NSCalendar currentCalendar] components:dateFlags fromDate:date];
NSInteger year = [components year];
NSInteger month = [components month];
NSInteger day = [components day];
Then create the path you want to create.
NSString *documentsDirectory = [NSSearchPathForDirectoriesInDomains(NSDocumentDirectory, NSUserDomainMask, YES) lastObject];
NSString *dir = [NSString stringWithFormat:@"%d/%d/%d", year, month, day];
NSString *path = [documentsDirectory stringByAppendingPathComponent:dir];
and finally, create the directory
NSError *error;
if (![[NSFileManager defaultManager] createDirectoryAtPath:path withIntermediateDirectories:YES attributes:0 error:&error])
NSLog(@"Error creating path %@ [%@]", path, error);