Is there an oral type of antibiotics for pink eye instead of the eye drops?

Best to use drops: Pink eye is usually viral in origin and so antibiotics are usually not used to treat the actual infection but to prevent the eye from contracting a bacterial infection on top of the viral infection. It would be best to stick with eyedrop antibiotics to avoid problems with stomach upset, diarrhea, and increased chance of resistant bacterial infections that can happen with oral antibiotics.

Yes, but...: While I suppose you could use an oral antibiotic, putting in eye drops would give you a higher dose and more targeted treatment. It also may help avoid side effects.