Procedures for Negative Canthal Tilt?

Yes, if you were to undergo a improvement in your negative canthal tilt, a upper face lift (malar lift), to elevate the skin and underlying muscles over you cheek bones, would improve the situation you describe.  But, it will not elevate your naso labial folds (laugh lines). To elevate and smooth the naso labial lines, the skin has to be pulled too tight and it will look fake.

According to your description, any procedure that pulls the lateral face and temples into a more vertical vector would give you the look you prefer. Surgical procedures that can accomplish this are usually facelifts and/or eyelid surgery. At your young age, a large surgery such as a facelift may be overboard and unnecessary to achieve just a "slight" lift. There may be other non-surgical energy-based machines or filler techniques which may provide these effect as well. It is best to have an in-person evaluation where the plastic surgeon can examine your facial structures and give you the best treatment options to fit your goals.