This is a very complicated question. I think almost all heterosexual men can become attracted to any heterosexual female and vice-versa. It may not happen all at once, but I figure if any two people were trapped on a desert island long enough, they would eventually act on their own biological urges. It's a basic instinct between cells, not the intellect.
But I also believe many men and women could learn to channel their natural instincts and achieve some sort of sexual detente. Co-workers in an office or factory can usually get through a shift without becoming more than friendly acquaintances. The desire to date an attractive co-worker may never fully go away, but the realities of work, like a no fraternization policy, could make it difficult to pursue. Outside forces might make it challenging for men and women to become more than friends if they cannot socialize outside of that environment.
The question in the article suggests a more intimate definition of friendship, however. Would it be possible for a male to maintain a platonic friendship with a female without the temptation to take it to a romantic or sexual level? Personally, I think there are any number of male/female friendships which have already survived that test. I've had friendships with females that were never based on mutual attraction or interest, so they never escalated to anything other than a platonic friendship. If they happened to be in romantic relationships, my role often became more of an older brother or confidante.
I think the problem would be more with forming a platonic friendship under false pretenses. There shouldn't be a strong underlying attraction for a friend of the opposite sex, since forming a casual friendship for the sole purpose of making a play later could backfire spectacularly.
In short, I believe certain men and women can become and remain good platonic friends, but the circumstances have to be above board. If one finds the other attractive, it doesn't have to mean the end of a perfectly good platonic friendship, but the feelings need to be acknowledged and dealt with early on before someone gets hurt.
