I have read that getline behaves as an unformatted input function. Which I believe should allow it to be used on a binary file. Let's say for example that I've done this:
ofstream ouput("foo.txt", ios_base::binary);
const auto foo = "lorem ipsum";
output.write(foo, strlen(foo) + 1);
output.close();
ifstream input("foo.txt", ios_base::binary);
string bar;
getline(input, bar, '\0');
Is that breaking any rules? It seems to work fine, I think I've just traditionally seen arrays handled by writing the size and then writing the array.
No, it's not breaking any rules that I can see.
Yes, it's more common to write an array with a prefixed size, but using a delimiter to mark the end can work perfectly well also. The big difference is that (like with a text file) you have to read through data to find the next item. With a prefixed size, you can look at the size, and skip directly to the next item if you don't need the current one. Of course, you also need to ensure that if you're using something to mark the end of a field, that it can never occur inside the field (or come up with some way of detecting when it's inside a field, so you can read the rest of the field when it does).
Depending on the situation, that can mean (for example) using Unicode text. This gives you a lot of options for values that can't occur inside the text (because they aren't legal Unicode). That, on the other hand, would also mean that your "binary" file is really a text file, and has to follow some basic text-file rules to make sense.
Which is preferable depends on how likely it is that you'll want to read random pieces of the file rather than reading through it from beginning to end, as well as the difficulty (if any) of finding a unique delimiter and if you don't have one, the complexity of making the delimiter recognizable from data inside a field. If the data is only meaningful if written in order, then having to read it in order doesn't really pose a problem. If you can read individual pieces meaningfully, then being able to do so much more likely to be useful.
In the end, it comes down to a question of what you want out of your file being "binary'. In the typical case, all 'binary" really means is that what end of line markers that might be translated from a new-line character to (for example) a carriage-return/line-feed pair, won't be. Depending on the OS you're using, it might not even mean that much though--for example, on Linux, there's normally no difference between binary and text mode at all.