Can a canthopexy give me the look of when someone is squinting?

Canthopexy by itself will not raise the lower eyelids unless the corner of the eye is also pinched which is not desired. What truly raises the lower eyelids is lower eyelid retraction surgery which can be combined with canthopexy or canthoplasty.

Wnile there are serval procedures to try and create that look, a lateral canthopexy being just one of them (lower lid raising by lamellar grafting and brow bone augmentation being the other), realistically that is not an achievable goal to the degree that most young men would like to achieve.