Yes, there are real planes sometimes used in movie stunts for doing crashes, it's not all CGI, although most is, doing real things like that costs a lot of money.
But regardless, if "not scaring fly-scared people" was actually a concern, any planes crashing in movies would be forbidden, not just real planes crashing in movies. But it's not.
>>capabl+(OP)
Not likely given the broad sweep of the First Amendment. Much easier for the FAA to deny a license to crash a plane under various safety rationales than to say "you can't show that because of the message" in the United States. The latter is almost certainly unconstitutional.