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Yes, but very rare. It is possible, there aren't always two people falling in love. People sometimes do not expect anything more, they wanna friendship. Gender does not matter. The most important thing is to understand each other.
Yes, I think men and women can be platonic friends. I don't see any reasons against this friendship. But in my opinion that friendships are very rare. When we spend a lot of time with other sex person it's likely that we fall in love with that person. So in conclusion platonic friendships are possible, but very rare and might not last long.
I think that being platonic friends between woman and man is possible and very frequent phenomenon in these days. Scientist give a proof that woman best friend is man for the reason that he is not jealous of her appearance and success in relationship and etc. The same applies to male subjects. This happen also because people would like to have someone who will take care of them and give a support whatever happend but without commitment like emotions declaration. The friendship between me and my best friend is also evidence that the platonic friends exists because we never fall in love each other.
I think that friendship between girl and boy is possible because friendship is based on sincerity, loyalty and confidence. These special things sometimes we can find in person who isn't the same sex. People who find it can be really happy and feeling like love doesn't have to exist in their relationship.
I think boy and girl can be a friends. Usually we have some platonic friends from elementary school. Furthermore there are many platonic friends in groups of people, that have the same hobbys, for example "metal heads".
I think that it is possible. If they have got trust to each other and be very carefully. They have to be careful because it might be no differences or they are so small between be a friends or be a couple.