Yes. Amazon’s FBA expiration-date policy says any product with a shelf life, or that loses effectiveness over time, is subject to expiration even if no date is printed. Its examples include products with a period-after-opening symbol, cleaning products such as disinfectant wipes, and topical products for human or animal use such as cosmetics (Amazon Seller Central). Baby wipes, makeup wipes and cleaning wipes all fit those descriptions.
Amazon’s requirement is that, at check-in, products have enough remaining shelf life to be used in full plus an additional 90 days. At the time of writing, its guidance table listed long minimum remaining shelf lives for cleaning supplies and for personal care and beauty products (900 days for both categories). Check the current figure in Seller Central before planning production dates.