Well you can remove it but you will also need to replace and cover up the area, which is in effect removing it.
If you have just premiere, duplicate the clip so the new one is on top. Use a garbage matte (four or eight depending on what works best) and crop around another part of the white wall that matches the look of what the wall would be theoretically if there was no nail there. Then select and move the wall clip and place it over the nail.
If the wall looks the same throughout it should work okay, but it’d be easier and give better results if you used like After Effects or Photoshop to better blend the image on top.