Оформил: DeeCo
Автор: http://www.swissdelphicenter.ch

 // Using ODBC: 

const
   ODBC_ADD_DSN = 1; // Add data source 
  ODBC_CONFIG_DSN = 2; // Configure (edit) data source 
  ODBC_REMOVE_DSN = 3; // Remove data source 
  ODBC_ADD_SYS_DSN = 4; // add a system DSN 
  ODBC_CONFIG_SYS_DSN = 5; // Configure a system DSN 
  ODBC_REMOVE_SYS_DSN = 6; // remove a system DSN 
  ODBC_REMOVE_DEFAULT_DSN = 7; // remove the default DSN 

function SQLConfigDataSource(hwndParent: HWND;
   fRequest: Word;
   lpszDriver: LPCSTR;
   lpszAttributes: LPCSTR): BOOL; stdcall; external 'ODBCCP32.DLL';

 function CreateDB(const Database: string): Boolean;
 begin
   Result := SQLConfigDataSource(0, ODBC_ADD_DSN,
     'Microsoft Access Driver (*.mdb)', PChar('CREATE_DB=' + Database + ' General'#0));
 end;

 procedure TForm1.Button2Click(Sender: TObject);
 begin
   CreateAccessDatabase('c:\Testdb.mdb');
 end;