No the pen that i had with my N9 was just fine which I owned for a year and used the s pen regularly @Aish98
I do remember reading a while ago on some threads that some people's opinion was that is wasn't as sturdy as they thought it should be.
You could speak with Samsung on warranty or purchase a new one if they are available on the Samsung Online Store.
Current Phone ~
Samsung Note 20 Ultra 5G SM-9820 _256Gb SnapDragon 865+
Samsung One Ui 2.5/ Android 10.