Optometrist are normally supposed to have the same studies as general doctors for the first few years. Though I guess it might depend on different countries, they still have some basic similarities (eyes’s health being linked to tons of different illnesses).
And knowing how to do first aid should be something all doctors know (I think it should be mandatory for every citizens but this is another subject)
He's an ophthalmologist he's not an optometrist...Ophthalmology is a Medicine speciality, that means you need to be a general physician first..you go to Medical school for 5-6 years, graduate, then do internship at a mayor hospital to get your General Medicine license...then you become a Dr...After that you get into residency (3-6 more years depending on the specialty) for an specific field you want... be it general surgery, Obstetrics, Pediatrics, Neurology or in this character's case into Ophthalmology...You need to be a General Dr first...so this guy is a trained Dr, that took even more studies to be a specialist in the eyes diseases, still a Medical Dr.
An optometrist is a primary eye care provider focused on vision correction, routine exams, and prescribing glasses or contact lenses. An ophthalmologist is a medical doctor who specializes in complex eye diseases and can perform surgery
No fellow specialist doctor I know, be it and Neurosurgeon or a Dermatologist doesn't know the basics of first aid.
Again the character behavior and knowledge doesn't match his actual education or job. Its annoying really.

As a physician I would advice you to never return to this guy's clinic....No good Dr is gonna react like this in a Emergency. We automatically enter into first aid mode, no joke, you asses the injury and then take a course of action. You don't fuking let a patient with active bleeding in the abdomen area, inability to move and obviously altered state of conscience...bleed out like that with 0 first aid.
He did absolutely nothing, just cry and shout for somebody (I guess a random REAL DR to appear) to save him. Its fuking ridiculous and unbelievable that they portray a Dr like that. Someone please call the authorities to have this dumb bottom have his medical license removed. He's literally a danger to society. Authors wanting to use a profession for the characters but don't fuking do their research get on my nerves... and the characters have 0 idea of profesional ethic or don't know what to do in obvious situations related to their jobs make the whole story into a JOKE