My question is moreso if I were to somehow make a blockchain that instead of exchanging bitcoins exchanged files. Would that mean that in that network, once that file is sent to another party, that I no longer have access to said file (assuming that I have not copied it)?
Maybe in the universe from the film "Interstellar" or "Blade Runner" or "In Time" you can make an assumption that you looked at the data but did not copy it.
In the real world we live you can't make such assumptions. I can't and won't try to prohibit you from fantasizing or dreaming up alternate realities. In the real world we all live you could learn how any sort of digital media player/reader works and stop conceptualizing "somehow" magical DRM (Digital Rights Management) devices. There's no point of getting into details of peer-to-peer and distributed technologies.