Yes, when working with a prototype designed for tablet or mobile devices, you have the option to hide the status bar when viewing the prototype on a desktop or in the InVision iOS app; however, there's currently no way to remove the status bar (even if you have checked the option in your settings) if viewing a document in Safari on iOS. This is due to limitations in Safari web apps on iOS.
To hide the status bar:
Open the appropriate screen in your prototype.
In the console toolbar, click the ••• (more) icon.
In the settings dialog, click Hide status bar (desktop viewing only).