No. You can't have Minty go into sleeping posture while turning her off. If you force her to do it by pulling her battery, she will not save the data of your play session and she will not grow up. As Teddscau says, if it were possible to do this, it would put stress on her skin and will cause it to tear after a while. You can however let her go to sleep on her own and then let her wake up in the morning. She will go into standby mode with one beep and will wake up eight hours later. Just be sure that if you do this, you don't put her in an area where she could fall or become damaged. Also, this will only work correctly if you have her clock set to your actual noon time.
Talon