A woman can definitely rape a man. Rape is defined by non consensual intercourse, and the lack of consent can come through violence, menace, surprise (in someone's sleep...), deception (posing as someone else...), intoxication, being below age of consent...
Not being a man, I don't know how/if one would get an erection in the context you mention, but as far as I understand getting an erection is pretty disconnected from conscious thought and therefore possible to obtain without full consent.
The thing is, the patriarchal nature of our societies and the traditional gender roles make it very hard to believe - as highlighted by the fact that you had to ask the question. Per gender stereotypes, men are supposed to be in constant demand of sex, and happy for whatever they get. Women are supposed to have inferior drives and require extensive seducing to even consider sex. Men are supposed to be strong and domineering, women are supposed to be sweet and uninterested by power. The terrifying result is to see a man confess being a rape victim only to hear "you lucky dog", receive a pat on the back and provoke laughter. And it is quite possible that few of these rapes get reported, or that if they are, they are shrugged off, laughed off and receive less attention than they should. This is the kind of things feminists refer to when they say that patriarchy (gender roles/sexism) hurt men too.
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