Is it possible to correct my negative canthal tilt to a neutral canthal tilt?

Yes it is very possible. It requires not just canthoplasty but also elevation of the lower eyelids (lower eyelid retraction surgery). See an expert.

Although an in person evaluation would be helpful, it seems you could augment your cheek area.   You may also be a candidate for an orbicularis sling, where your lower lid muscleis tacked up to your bony rim above the upper lid.   This often helps and avoids a Canthopexy  or canthoplasty.   Good luck!

It appears you have negative canthal angle tilt. There are several ways to address it depending on what your in-person exam shows. Ask what an oculoplastic expert what fix has the least downside and the longest lasting results. See some before and after photos of their work.

While a lateral canthoplasty would be part of the procedure that alone will not suffice. You have to add spacer grafts to the lower eyelid to vertically length it as well. You can't just pull on the corner and expect the lild level to be maintained short or long term.