Sure, ocular pathology is a subspecialty in much need these days. In my very humble opinion, I would not consider doing any microscopic eye surgery if I only had one eye. It would be extremely stressful to me. But then again, I've never had to adapt to non-stereopsis.
With one eye you can not use microscope so it is almost impossible to perform any type of ocular surgery that need stereopsis (cataract, vitrectomy) But you can perform strabismus and oculoplastic surgery and ocular pathology also a good alternative
To add, lots of US residency programs test for stereopsis. It is critical not only for microscopic surgery (cataract surgery, vitrectomy, cornea) but also for some parts of clinical practice. However, as posters above have said, you might be ok with strabismus and oculoplastic surgeries.
Unfortunately you cannot go through residency without operating. You put a lot of patients at risk if you only have one eye. I recommend against applying into ophthalmology for the safety of patients.