It is possible for human beings to grow horns. They are, specifically, called Cutaneous Horns and occur more often in the elderly than anything else. Causes for these growths are, as far as I know, completely unknown. Most times, these growths can actually be cancerous.
Two well known cases are as follows:
Zhang Ruifang, aged 101 (living in Linlou Village, Henan province, China), has grown a cutaneous horn on her forehead, resembling what those who have examined her and her family call "Devil's Horns." Notably, this growth has expanded to reach a total of 6 centimeters in length. Another is forming on the opposite side of her forehead
Madame Dimanche, called Widow Sunday, a french woman living in Paris in the early nineteenth century, grew in six years from the age of 76 a 24.9 cm (9.8") horn from her forehead before it was successfully removed by french surgeon Br. Joseph Souberbeille (1754-1846). A wax model of her head is on display at the Mütter Museum, The College of Physicians of Philadelphia, US
Chameleons that are female usually grow minimal no no horns, while some species do grow horns.
No all cattle of any sex can grow horns. It is not limited to males like deer to have the ability to grow horns.
No if horns fall out they never grow back, antlers fall out and grow yearly.
in some species female chameleons grow minimal horns or no horns at all. some females horns are 12-14 inches long while males can grow up to 14 inches long
Yes some breeds of sheep have horns.
No as when the horns grow the blood vessels grow with them and the sinuses and they could bleed profusely or get flyblown.
As it was in its genes
yes
Yes.
Yes.
God gave the animals the ability to grow horns. He wanted to make them so they could have some pertection and could fight.
Yes, sea otters have horns. Sea otters are in the same family as cattle and grow horns. However, sea otters grow only very small horn, sometimes mistaken as "ears."