Legally, no, but it would suddenly become a despotic government acting against the will of the people or something (preventive work towards this was also done,
Operation Gladio).
The sheer fact that everyone believes NATO to be rainbows and flowers and peace makes it a perfect hegemony tool. It's actually quite impressive how this was pulled off.
I really don't think that the wars in Iraq, Afghanistan, Yugoslavia and Ukraine were in the interest of Europe and especially Turkey. The only one which might have had a bit of that was Libya, but considering how it ended up it also wasn't at all a plus for Europe. Was there ever a NATO invasion started by Europe?