No, they cannot. Cells have such a complex structure that it is not possible for them to have come into existence spontaneously or by chance. In a small space which can only be seen by a microscope, there are incredibly complex structures such as specialised working systems, communication systems, systems for in-coming and out-going transportation, control systems for the exchange of materials and centres where information is recorded. W. H. Thorpe, an evolutionist scientist, acknowledges the exquisiteness in the structure of a cell saying: "the most elementary type of cell constitutes a 'mechanism' unimaginably more complex than any machine yet thought up, let alone constructed, by man." (W. R. Bird, The Origin of Species Revisited, Nashville: Thomas Nelson Co., 1991, pp. 298-99.)
The probability of the spontaneous formation of such a perfect structure, which mankind, with 20th century technology at its disposal cannot succeed in producing, is "zero". The cell is created by Allah with its complete perfect structure.