It is possible to do procedures to correct the issue you are noticing. One option is a lateral tarsorrhaphy. Another option is a canthoplasty. I would recommend that you consult with an oculofacial plastic surgeon to advise you on the specific procedures that could help with the concerns you have.
Hi @moarsprinkles. I would not recommend a lower lid blepharoplasty for you. You would be a great candidate for tear trough filler, but due to your allergies I would also avoid tear trough filler. Another option would be nano fat grating to the tear troughs.
What you have is probably a combination of some actual eye protrusion which is magnified by the lack of adequate forward projection of the bones around the eye. Bringing the eye back by orbital decompression is one approach vs building up the bone around the eye with custom implants is another...