Are Games like cookie clicker harmful to my iPhone 4?

I was wondering if games such as cookie clicker ios, bit coin billionaire for ios, or any other game that requires repeated tapping of the screen could in anyway damage the screen of my iPhone 4. For example, could it cause permanent damage to my screen from tapping repeadly?

No
it won't harm your screen the screen is protected by a slab of protective glass and its meant to be touched tapped and wiped hunderds fo thousands of times over it life span

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