No, algae do not have xylem.
Explanation
Algae, being mostly aquatic organisms, possess a simpler structure compared to land plants. According to the reference, algae lack many of the distinct cell and tissue types, such as stomata, xylem and phloem that are found in land plants. Xylem is a specialized vascular tissue responsible for transporting water and nutrients from the roots to other parts of the plant, a function not required in the same way by algae living in water.
