From a broad perspective, there have been dozens of scientific studies and surveyed numbers of people about cross-gender friendships to discover whether these relationships can actually work or not. Also there have been studies listened in on countless discussions with men and women on the issue. Well
... For a man, a woman who is just a friend allows him to express his more emotional side, to experience his vulnerability, to treat himself and his friend more tenderly than is permissible with male friends. What is typically missing for him in this cross-gender relationship, however, is the kind of rough camaraderie he can have with another man. For a woman, a man who is just a friend helps her express her independent, more reasoned and tougher side - the harder edge that's kept under wraps in relationships with women. The down side for her is the relative absence of emotional reciprocity and intensity she normally shares with a female friend.
So, okay, twist our arms for a NO or YES answer to this question and the answer will be YES. But we will quickly qualify it. Men and women can enjoy friendship together, but not at the same level they do with friends of the same sex.