Traditional C++ was very straightforward and only a library intended to create threads (like pthread) gave rise to other threads.
Modern C++ is much closer to Java with many functions being thread based, with thread pools ready to run asynchronous jobs, etc. It's much more likely that some library, including the standard library, uses threads to compute asynchronously some function, or sets up the infrastructure to do so even if it isn't used.
In that context, is it ever safe to use functions with global impact like fork?
The answer to this question, like almost everything else in C++, is "it depends".
If we assume there are other threads in the program, and those threads are synchronizing with each other, calling fork is dangerous. This is because, fork does not wait for all threads to be a synchronization point (i.e. mutex release) to fork the process. In the forked process, only the thread that called fork will be present, and the others will have been terminated, possibly in the middle of a critical section. This means any memory shared with other threads, that wasn't a std::atomic<int> or similar, is an undefined state.
If your forked process reads from this memory, or indeed expects the other threads to be running, it is likely not going to work reliably. However, most uses of fork actually have effectively no preconditions on program state. That is because the most common thing to do is to immediately call execv or similar to spawn a subprocess. In this case your entire process is kinda "replaced" by some new process, and all memory from your old process is discarded.
tl;dr - Calling fork may not be safe in multithreaded programs. Sometimes it is safe; like if no threads have spawned yet, or evecv is called immediately. If you are using fork for something else, consider using a thread instead.
See the fork man page and this helpful blog post for the nitty-gritty.