abrir y cerrar form2 desde form1

[ecfisa]

Hola ozsWizzard.

Otra opción es usando un TTimer (pestaña System) en Form2.

Form1:

Código Delphi [-]
...
implementation

uses Unit2;

...

begin
  TForm2.ShowForm; 
end;    
...

Form2:

Código Delphi [-]
  
...
  TForm2 = class(TForm)
    Timer1: TTimer;
    procedure FormCreate(Sender: TObject);
    procedure Timer1Timer(Sender: TObject);
    procedure FormDestroy(Sender: TObject);
  private
  public
    class procedure ShowForm;
  end;              
...
implementation

procedure TForm2.FormCreate(Sender: TObject);
begin
  Timer1.Enabled  := False;
  Timer1.Interval := 2000;  // milisegundos
  Timer1.Enabled  := True;
end;

class procedure TForm2.ShowForm;
begin
  if not Assigned(Form2) then
    Form2 := TForm2.Create(nil);
  Form2.Show;  // o ShowModal
end;

procedure TForm2.Timer1Timer(Sender: TObject);
begin
  Close;
end;

procedure TForm2.FormDestroy(Sender: TObject);
begin
  Form2 := nil;
end;

Saludos.