Yes, prokaryotes have both a cell wall and a cell membrane. The cell membrane is a fundamental structure found in all living cells, and it serves as a barrier that controls the movement of substances in and out of the cell. Prokaryotes, which include bacteria and archaea, have a unique composition of their cell membranes, usually rich in lipids and proteins.
On the other hand, the cell wall is a distinguishing feature of most prokaryotes, providing structural support and protection. In bacteria, the cell wall is primarily made of peptidoglycan, a polymer that gives the cell its shape and prevents it from bursting in hypotonic environments. Archaea have cell walls, too, but their composition varies and does not contain peptidoglycan.
In summary, prokaryotes possess both a cell wall and a cell membrane, which play critical roles in the cell’s integrity and functionality.