So the Answer is No

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[Concerning Deut. 22:5] “Transvestite men certainly are condemned here, but the language with regard to the women is quite different. The operative phrase in this passage is keli gabar, the gear of a warrior. A woman is not to wear the gear of a fighter. The prohibition is not one of slacks, but rather of helmets and heavy rifles.”

The Cultural Mind, p. 129