No, it is not normal.
Thoughts like this are symptoms of a very unhappy child. A lonely, insecure child.
I had terrible nightmares as a child. At 7/8 years old I would think of opening the car door and just falling out. I don't know if I wanted to die, but I did want the pain to stop. Maybe if I fell out on the road and was injured mother would decide she loved me after all.
At 5 years old I would self harm (bite myself, sometime till I bled)
None of that is normal.
Neglect, being ignored, invalidated, ridiculed, feeling unwanted, a nuisance, unloved, told or implied that you are a burden and that their lives would be sooo much better without you. This takes a huge emotional toll on a child.
Low level abuse can be subtle, and usually passes unnoticed by others.
I was blamed for being miserable, whiney, a 'grizzler'.
It was all my fault, funny, no body seemed to wonder why a child would be so unhappy. Unless you got bruises no one cares.