How can I create a custom shape that can display an image?

Try something like this:

profileImageview=[[UIImageView alloc]initWithFrame:CGRectMake(2,10,100,80)];
    UIBezierPath *path = [UIBezierPath new];
    [path moveToPoint:(CGPoint){0, 0}];
    [path addLineToPoint:(CGPoint){100, 0}];
    [path addLineToPoint:(CGPoint){70, 80}];
    [path addLineToPoint:(CGPoint){0, 80}];
    [path addLineToPoint:(CGPoint){0, 0}];

     CAShapeLayer *mask = [CAShapeLayer new];
    mask.frame = profileImageview.bounds;
    mask.path = path.CGPath;

    // Mask the imageView's layer with this shape
    profileImageview.layer.mask = mask;