yes. You can engage in the sale, storage and transportation of food (including drinks) with a food business license, and you don't need to make a special record for dealing in alcohol. In addition, you can apply for a business license with a food circulation permit.
Measures for the Administration of Food Business License
Article 2 Anyone who engages in food sales and catering services within the territory of the People's Republic of China shall obtain a food business license according to law. These Measures shall apply to the application, acceptance, examination, decision and supervision and inspection of food business license.
article 3 the food business license shall follow the principles of legality, openness, fairness, impartiality, convenience and high efficiency.