Not usually. Only an advanced GC will be concurrent. Something like Perl or Ruby for example runs in the foreground. If it is concurrent then you shut down the GC thread, fork, and then start a new thread in each new process.
It's probably not safe to fork() from most frameworks threads (OpenMP) and is hard to make safe for complicated parallel processing. But if you control the flow of execution and minimize mutex and critical section(s) it can be done withal. Several examples of thread served queues performing user defined actions upon message receipt
to include fork() + exec() come to mind.