Yes, you can see incognito history on your iPhone if you use third-party apps, like iOS parental control apps that can retrieve iPhone incognito history. Some of these apps create browser history reports and even collect keystroke records that can be viewed and deleted later.
Only install these apps if you’re okay with hidden browsing data being logged, and only if you’ve checked how to clear that data in the app. When it comes to doing an incognito history delete, mobile can be just as critical as desktop or laptop.