It is possible to write to an excel file without using any third-party library by using the Excel Spreadsheet XML format. All you need is using a XmlTextWriter. Here is an example (the stream where to write the excel is assumed to be provided):
XmlTextWriter w = new XmlTextWriter(stream, null); // Creates the XML writer from pre-declared stream.
//First Write the Excel Header
w.WriteStartDocument();
w.WriteProcessingInstruction("mso-application", "progid='Excel.Sheet'");
w.WriteStartElement("Workbook");
w.WriteAttributeString("xmlns", "urn:schemas-microsoft-com:office:spreadsheet");
w.WriteAttributeString("xmlns", "o", null, "urn:schemas-microsoft-com:office:office");
w.WriteAttributeString("xmlns", "x", null, "urn:schemas-microsoft-com:office:excel");
w.WriteAttributeString("xmlns", "ss", null, "urn:schemas-microsoft-com:office:spreadsheet");
w.WriteAttributeString("xmlns", "html", null, "http://www.w3.org/TR/REC-html40");
w.WriteStartElement("DocumentProperties");
w.WriteAttributeString("xmlns", "urn:schemas-microsoft-com:office:office");
w.WriteEndElement();
// Creates the workbook
w.WriteStartElement("ExcelWorkbook");
w.WriteAttributeString("xmlns", "urn:schemas-microsoft-com:office:excel");
w.WriteEndElement();
// Creates the worksheet
w.WriteStartElement("Worksheet");
w.WriteAttributeString("ss", "Name", null, "Sheet1");
// Creates the table
w.WriteStartElement("Table");
// Creates a row.
w.WriteStartElement("Row");
// Creates a cell with "SomeData" written in it.
w.WriteStartElement("Cell");
w.WriteStartElement("Data");
w.WriteAttributeString("ss", "Type", null, "String");
w.WriteString("SomeData");
w.WriteEndElement();
w.WriteEndElement();
w.WriteEndElement(); // Closes the row.
w.WriteEndElement();
w.WriteEndElement();
w.WriteEndElement();
w.WriteEndDocument();
w.Flush();
w.Close();