I think the answer is no. That doesn't mean there aren't exceptions. But they are, in fact exceptions rather than the rule.
Case in point, "colloquiallyspeaking" replied that she had had such a guy friend who was beneficial in coaching her while she dated her husband, and now continues her friendship with him alongside her husband. While she concedes that adding physicality to the relationship can make things complicated, she adds that "a good emotional friendship is definitely possible and happens everywhere outside of the religious world."
I beg to differ, based on personal experience in secular academic institutions, as well as this completely objective and pseudo-scientific video that has been making the rounds on Youtube:
I think this video is very telling. As much women seemingly think platonic relationships with the opposite gender is possible, popular opinion from men seems to indicate the exact opposite.
From my own single experience from high school until marriage, I don't think I had female friends for whom I did not possess at least a small measure of attraction - even when the matter was openly discussed and the girl would adamantly say that she had no interest in anything other than a platonic relationship. I would certainly abide by her decision and keep things strictly platonic in terms of our interactions, but I couldn't deny that some residual feelings (or more) continued to dwell within me.
And that's the trap.
Can you honestly say that you could continue to be friends with a guy or girl, knowing they want no further development to that friendship, and successfully grapple with any ongoing feelings or spikes in attraction for him/her? That's very tough, to say the least.
I know I went through several cycles of waxing and waning of these troublesome feelings throughout my time in NCSY, while in Israel, and even at the start of my time at Yeshiva University. When I started dating, I was very aware of this distraction, and was reminded of this conflict by a married female friend (who was one of aforementioned single female friends) that I'd need to knock it off when it came to maintaining and cultivating female friendships while I was dating. And she was right. It made my life that much simpler, gave me greater focus, and allowed me to have success in my dating.
I'm reminded of an interesting observation that Rav Aharon Lichtenstein made during a Q & A session related to us by Rabbi Hayyim Angel. Someone asked Rav Lichtenstein if it was possible to have a platonic relationship, and Rav Lichtenstein, per his usual scholarly nature, went into a discourse explaining the true definition of a platonic friendship, which is actually between two men. I can't recall what Rabbi Angel said about Rav Lichtenstein's answer to the actual question, but I imagine he wasn't so encouraging.
Can anyone give an argument that demonstrates platonic male-female relationships are actually possible on a large scale instead of an exceptional minority?