Absolutely.
Her famous portrait may have embellished her looks somewhat, making her look lighter in complexion than she was (light skin being an ideal of beauty in her times).
Eyewitnesses maintain that she had „olive skin“, though that simply might have meant that her skin was indeed „light tan“ by nature.
Many Britons have, by nature, very light, clear complexions which do not tan easily, but Anne Boleyn’s skin tone possibly tanned more easily than most other Britons did.
Thus, her skin type might have been regarded as „olive skinned“ by the standards of her mostly milk-white complected countrymen, just because she was „half a shade“ darker than they were.
As they say, it’s all a matter of perspective 😊
No it’s a matter of deceitful propaganda
There are Germans from the southern areas close to France that have a more olive skin color and dark eyes and hair. My mom’s mother’s family was from there. She and my sister both had/have dark brown hair and very dark eyes and tan easily. But no one would mistake for black even in mid-summer.