I can’t download App Store on my iPhone

Review this Support Article and describe what does not work for you.

If you can’t download or update apps on your iPhone or iPad - Apple Support

Dboykin17 Said:

"I can’t download App Store on my iPhone: I can’t download App Store"

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Has this app apparently gone missing form the Home Screen? If so, refer to the following...

Getting App Icons Back:

Use Drag & Drop on the Home Screen:

Tap on the Home Screen. Then, hold your finger on the far-right edge of the screen. Next, swipe your finger in from the right. Next Drag & Drop the apps back over.