Delete from where/how ? You can't delete any item from an account's purchase history, if you don't want apps to show in the Purchased redownloading area all you can do is hide them : Hide apps for your iPhone, iPad, iPod touch, or Mac - Apple Support
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It doesn't need to be linked to a computer, the hiding process doesn't need it.
I can hide apps from the Purchased tab in the App Store app on my iPhone 7 (iOS 11.2.6), swiping from right-to-left gives me a 'hide' button which removes it from that list. That is what you are doing on the phone ?
Question: how do i delete app download history