Reading the file is copying it into active memory.
Once the file is in active memory, you can't control what happens next.
There are special platforms which perform DRM (Digital Rights Management) which can make it far more complex for people to take copies of your file. Snapchat has some controls like this, as does the Kindle reader. Encryption, proprietary protocols and control over the software and or hardware are required.
There are online services such as https://digify.com/product.html which do something like this too, not by USB of course.
This kind of control is really only effective at keeping honest people honest. Even if they haven't hacked the software or have a technical circumvention, a motivated person could always photograph the document from the screen.
See the measures taken in the TTIP as an example of somebody trying to solve this issue: http://www.independent.co.uk/news/world/europe/ttip-controversy-secret-trade-deal-can-only-be-read-secure-in-reading-room-in-brussels-10456206.html
"In the basement of the US capitol, there is a room, a locked soundproof room, and the only people allowed in this room are US senators, and they can't bring their assistants, they can't bring their phones, they can't even take notes in there."