I'm afraid the answer isn't a tidy one.

The historical people who lived in the real Troy, Late Bronze Age/early Iron Age: no. Troy was well to the north of the dividing line between Anatolian and Mycenaean/Aegean culture that we see in the material record; it was never part of the Mycenaean world; it was incorporated into the Hittite world in the early 12th century BCE. We know nothing of their political allegiance after the fall of the Hittites shortly after 1200, but there's cultural continuity in the material evidence into the middle of the next century, and no evidence of a shift towards anything Greek up until the point where the site was abandoned ca. 950 BCE.

The historical people who lived in the real Troy, the Archaic Period onwards: yes, at least partially. Troy was settled by Greek colonists ca. 800 BCE. At that time it appears there was a substrate non-Greek population of probably mixed ethnicity -- Lelegians, possibly some Mysians, maybe one or two others. We don't know who the settlers were, unfortunately: Troy was never considered part of "Aeolis", the area on Turkey's west coast that was inhabited by Aeolian Greeks; and it was a long way from any Ionian colonies. But Troy remained Greek until it was abandoned once again at some point in the late Byzantine era.

The mythical people who lived in the mythical Troy of Greek legend: maybe, sort of. The Troy depicted in the earliest mythical texts (mainly the Iliad, plus some other poetic sources such as Sappho) is a mix. On one hand the legendary Troy is strongly flavoured by the contemporary Troy, a Greek colony: they worship Greek gods (the cult of Ilian Athena depicted in Iliad 6 was always the main civic cult of the Greek city, from the Greek colonisation until Christianity came along; and the shrine of Apollo at Thymbra, a few kilometres away, was a real one, though it died out only a few centuries after the founding of the Greek colony); Greek gods feature prominently in their mythical genealogy, especially Zeus; many of them have thoroughly Greek names (Hektor, Antenor, Alexandros, Ganymedes, Anchises, Aineias, etc.); and there's no suggestion that they speak a different language from the Greeks (though their allies certainly do, probably based on the non-Greek aboriginal ethnic groups who were living there in the 8th-7th centuries). On the other hand, they have some iconically non-Greek customs: king Priam has fifty sons, a typical number associated with other outlandish figures in Greek myth (esp. Danaos); his adult children, both married and unmarried, daughters and sons, live in the same house with him (like Aiolos), so patrilocal marriage isn't the only possible standard (it is the standard in Greek myths, with a very few exceptions); their allies, as I mentioned already, are very mixed ethnically; and though nearly all names are Greek, there are a few that are definitely not (Priamos, Paris, Assarakos).

So you've got a mix of possible answers, and your choice will depend on how you want to interpret the question, and on your priorities in the matter. I'm afraid I can't provide that part of the answer!

Edit. Some minor corrections to the bit about patrilocal marriage.