No, you cannot apply for a student visa before receiving an admission letter from a recognized German university or educational institution. The admission letter is a crucial document that confirms your acceptance into a specific program of study. It provides important information about your course, duration of study, and enrollment status, which is required for the visa application process. To apply for a student visa, you will need to demonstrate that you have been accepted or enrolled in a recognized educational institution in Germany. Therefore, it is essential to first secure admission and obtain the admission letter before initiating the visa application. The admission letter serves as evidence of your purpose and intention to study in Germany, and it should be included in your visa application along with other required documents. It is recommended to start the application process for admission to German universities well in advance, considering their specific application deadlines and the time required to receive the admission letter. Once you have received the admission letter, you can proceed with the student visa application at the German embassy or consulate in your home country or the country where you have a legal residence.