Definitely and I'd even go as far as saying that there's more alpha females than alpha males this day and age.
Women are making major loot with Instagram pages without even trying and its dikkless guys in large quantity making it happen. It's gotten so bad that "men" read all these pick up tactics they think will make em alpha like insulting girls as opposed to playful backhanded compliments and over do it on trying to have "swag". Women see through that shyt easily and a simple 'hi' would've done it. Combine that with the majority of men in this era being so afraid of rejection, and it's safe to say women are easily more dominate.