"Plaintext" can have several meanings.
The one most useful in this context is that it is merely a binary files which is organized in byte sequences that a particular computers system can translate into a finite set of what it considers "text" characters.
A second meaning, somewhat connected, is a restriction that said system should display these "text characters" as symbols readable by a human as members of a recognizable alphabet. Often, the unwritten implication is that the translation mechanism is ASCII.
A third, even more restrictive meaning, is that this system must be a "simple" text editor/viewer. Usually implying ASCII encoding. But, really, there is VERY little difference between you, the human, reading text encoded in some funky format and displayed by a proprietary program, vs. VI text editor reading ASCII encoded file.
Within programming context, your programming environment (comprized by OS + system APIs + your language capabilities) defines both a set of "text" characters, and a set of encodings it is able to read to convert to these "text" characters. Please note that this may not necessarily imply ASCII, English, or 8 bits - as an example, Perl can natively read and use the full Unicode set of "characters".
To answer your specific question, you can definitely use "character" strings to transmit arbitrary byte sequences, with the caveat that string termination conventions must apply.
The problem is that the functions that already exist to "process character data" would probably not have any useful functionality to deal with your binary data.