I don't think one NATO country can credibly threaten to invade another, so not really, no... But clearly the US did not sign up to the international criminal court / war crimes courts etc because they were worried about random US DoD personnel who killed civilians in Iraq and Afghanistan being hauled in front of the court. Somebody like Robert Bales for instance:

https://en.wikipedia.org/wiki/Kandahar_massacre

As he has been sentenced to life in prison without the possibility of parole the US takes the position that they want to prosecute such things within their own system.