Yes. While probiotics from supplements should be enclosed in an enteric capsule that protects live bacteria as they pass through the stomach and make their way to the lower small intestine and large intestine, some bacteria can survive the acidity of the stomach. The ability to survive in gastric juice varies significantly from strain to strain; however, the most common bacterial strain found in fermented foods and dairy products, lactobacillus, can make it past the acidic environment of the stomach. Furthermore, consuming beneficial bacteria through food enhances survival rate and usability, and adds nutrients you cannot get in a single pill.