If you want a generic solution for every column in your database you can use this kind of code
public string GetColumnsWithoutIdentity(string tableName, SqlConnection con)
{
SqlDataAdapter da = new SqlDataAdapter($"SELECT * FROM dbo.{tableName} where 1=0", con);
DataTable dt = new DataTable();
da.FillSchema(dt, SchemaType.Source);
var cols = dt.Columns.Cast<DataColumn>().Where(x => !x.AutoIncrement).Select(x => x.ColumnName);
return string.Join(",", cols);
}
Now you can use the returned string to build an Sql statement without the autoincrement column.
Notice that this code is vulnerable to Sql Injection. You should be absolutely sure that the tableName parameter used to build the first query is not typed directly by your user. Let it choose from a whitelist (readonly) of predefined tables (and also this is not 100% safe)
Another drawback is the fact that you need to hit the database two times. Once to get the schema with the info about the AutoIncrement column and one to fill the datatable after that.