Absolutely. Now, more often than not, the male ego is at stake and the "He-Man-Woman-Hater-Club" or argument of "tradition" is in effect. However, the truth is that some women are absolutely tough enough to be 0300s. They are few, but they do exist.
I believe the Marine Corps made a mistake in 1997(?) Before this, women went from Boot Camp to their MOS schools and followed up with basic infantry training once they got to the fleet. Then came a much needed breakthrough. The Commandant instructed Training Command (TECOM) to make room for the women. In 1997 (or '96), the first female Marines graduated Boot Camp and went to Marine Combat Training (MCT) and then went to MOS school just like the men. However, this is where they made a mistake. The women were thrown in with the men and the training quickly became less intensive to accomodate the abilities of the women. (18 mile hikes became 12 mile hikes, run paces slowed, etc.) By the end of the year, the women were seperated out into their own training commands along side the men, so that they could receive training in accordance to their abilities and the men could get back on track.
The dark side of this is that this is now used to "prove" that women can't do it. But this is a general mood. There are plenty who believe that if a woman truley wishes to live the life of the infantry, then she should be able to at least take some sort of indoc to prove capabilities. This, of course, couldn't be something where she could work towards taking, because there must be a natural baseline ability present. The reason is because the rigors of being in the infantry don't stop and there must be a base line of strength and endurance.
But there would be other considerations. Logistics would be tough. The infantry is not constructed for "coed." We watch Battlestar Galactica or Starship Troopers or Aliens or movies of the like where men and women dress together in locker rooms, but this isn't practical in our society.
I believe it is do-able. But ultimately, its our politicians that have to approve of something like this. Combat training is one thing. Sending women on patrols where enemy is imminent is another. I don't think America is ready to stomach dead American women on CNN.
Absolutely welcome.