Yes, acute care for eye injuries (or potential injuries like to verify the eye is fine after it was hit) is covered under health insurance (in the US) and not typically covered by vision insurance. Vision insurance mostly covers your routine exams, glasses, and contacts. If you have a real health issue (glaucoma, macular degeneration, etc.) with your eyes and not a vision issue (myopia, presbyopia) then that's also covered under your health insurance and not your vision insurance.