No. NaOH is sodium hydroxide, which is a strong base, not an acid, and is not found in rain. Acid rain is rain that is unusually acidic due to the presence of nitric acid (HNO3) and sulfuric acid (H2SO4). Acid rain is still mostly water.
Nearly all rain contains acid. Acid rain is noted form being abnormally acidic. Normal rain contains small amounts of carbonic acid, a weak acid. Acid rain is contaminated with unusual amounts of nitric and sulfuric acid, which are strong acids.