Yes, bacteria can grow in peptone water. Peptone water is a nutrient-rich medium that can support the growth of many types of bacteria. In fact, peptone water is commonly used in laboratory settings as a simple, nutritive medium for the cultivation and maintenance of bacteria. Peptone water is generally considered a good source of nutrients for the growth of microorganisms because it contains a mixture of hydrolyzed proteins, which can provide the amino acids and other nutrients that bacteria need to grow and multiply. However, it is important to note that the specific types of bacteria that can grow in peptone water will depend on a variety of factors, including the pH, temperature, and oxygen levels of the medium.