In response. Yes!
Reincarnation often switches genders and in the spiritual world, it seems that there is no gender difference. In Hinduism and Buddhism, many of the gods and deities are gender-neutral, i.e., they can appear as male or female. The Chinese buddhists believe that the Goddess of Mercy, Guan Ying, can appear as a man, a woman, a ghost, an animal, etc. The standing images and statues of Guan Ying show her standing on a dragon, standing on two snakes, standing on the lotus flower, standing on clouds, always without shoes.
When we look at a cat, a tiger, a male lion, a female lion, and a dog, the lioness looks female and feline like the cat and the tiger. A male cat or a male tiger looks very feminine or feline to me. A female dog still looks like a male dog if one does not look at the genitals.
Therefore to me, a female dog that looks “male or masculine” to me can reincarnate as a boy in the next life. And vice versa, a female looking male cat can reincarnate into a girl in the next life.