Search history is it correct

Only data from another user that is sharing your Apple Account. You can view the devices that are signed into your Apple Account by going to Settings > [name on top], and scroll to the bottom to see the devices that are using your Apple Account.

Beyond that website history can also include locations that another website has used to receive data even when you have not physically navigated to that website or has opened a new tab in the background. You can view and close those tabs in Safari on the iPhone by using this Support Article.

Open and close tabs in Safari on iPhone - Apple Support

It's very easy if someone is using your devices or your logins. If you share an Apple Account with someone and you have Safari Sync enabled, the browsing history of anyone who uses that login will show.

Perhaps if you explain what is causing you to ask this question, someone can give you a more tailored answer.

Not unless you share an account.