Female centaur archer

You always wanted to be an archer so you decide to pick that mirror. Though before you do you turn into a red headed girl with hair down her back. You give yourself a nice rack of 34 D breasts. Then you realize in fantisy worlds there is alot of horse back ridding and you have never gotten along well with horses so you deside to test your shapeshifting abilities further by becomeing a centaur with a light brown hide and matching red hair tail.

As you trot though the mirror the green tunic and hat along with the bow and quiver of arrows appaear on you as if you have put them on yourself that morning. You look around the area and see a vast fantasy land scape that would put most movies to shame. Suddenly you see a male unicorn come trotting up to you. You are sure its a male by the fact its male hood is showing quite promently between its legs as it comes near you. In fact it seems to be getting larger. Do centaurs and unicorns mate?