Of course not.Is Article 5 a suicide pact?
NATO has to meet and consider any article five request and then the members decide what to do.
In this instance, if Russia responds and if that response is not overwhelmingly disproportionate, NATO will not respond affirmatively to such a request by Turkey.
The force taken by Turkey, IMHO, was disproportionate to what was happening.
Read Turkey's own talk and reasoning when Syria shot down their aircraft back in 2012 (I believe that was the year).
They ended up shooting down two Syrian aircraft in response, indicating that the Syrian downing of their aircraft was wholly wrong because in these situations sometimes stray over other's air space.
That's what they said...and now, they cannot have it both ways.
But what they did not do was go and level an entire Syrian military base over it.