Yes, men have baby hairs. Baby hairs are a type of vellus hair, which are the fine, soft hairs that cover most of the body. Men typically have more terminal hairs than women, but even men who lose terminal hair often still have vellus hair. For example, even if an older male has a bald spot on his head, the area still likely has fine patches of vellus hair.
Baby hairs are often more noticeable around the hairline, especially as men age and their terminal hair thins. These short, fine hairs can sometimes be a sign of hair loss, as they may be miniaturized hairs that are unable to grow as long as the other hairs.
However, having baby hairs is not always a sign of hair loss. They are a normal part of the hair growth cycle and are present on men of all ages and races.