Can a 2-month-old baby have diabetic retinopathy?

No. Diabetic retinopathy is the result of long standing diabetes or disease that has not been well controlled, high glucose levels over time damage the small retinal vessels in the eye.
Not likely. Unlikely--please follow up with your pediatrician or ophthalmologist if you have concerns about your baby's vision.

Related Questions

Is it possible for a 16-18 year old to get diabetic retinopathy and go blind?

Yes. With grossly uncontrolled diabetes over a long time, this is possible.
Not common. Most young diabetics will take at least 5 years before the diabetes can affect the retina- the light sensitive eye that is most commonly involved. As a specialist, I rarely see diabetics less than 20 years of age who need treatment, let alone have such severe eye disease that they goes blind.

Is diabetic retinopathy likely to occur in a pre-diabetic of age 20? If I get my blood sugars back to normal will I have to worry about blindness?

Retinopathy is. Always a potential problem in anyone with prediabetes, diabetes or just Insulin resistance. To decrease your risk, keep as lean and active as possible, keep bp, lipids and glucose as close to normal as possible, and follow-up with your doctors on a regular basis. Prevention is a lot better than worry.
No. Diabetic retinopathy is usually not developed in pre-diabetics. Once you have established diabetes and are treated for it, if the blood sugar is well controlled it takes 10-15 years before onset of retinopathy or even longer. Poor control of hga1c brings on diabetic retinopathy at an accelerated rate. Have your eyes examined every 9 months.
Yes. Given your young age and possible early diabetes, you are high risk of developing diabetic eye disease during your lifetime. Work with your doctor to gain control over your body and this will lessen, but not eliminate, the risk of getting diabetic eye disease.