Is it impossible to establish a connection to SQL SERVER through an ASP.NET Web Method?

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No, it is not impossible to establish a connection to SQL SERVER through an ASP.NET Web Method. In fact, this is a common practice in web development. The Web Method can use ADO.NET or Entity Framework to establish a connection to the SQL SERVER database and execute queries or stored procedures. However, it is important to ensure that the connection string is secure and sensitive information such as usernames and passwords are not exposed.