There are some interactions that could be read that way. But in my opinion they don't have more chemistry than Spock/McCoy or Kirk/McCoy. Don't know why the fandom focused almost exclusively on Kirk/Spock in particular...
So there is no hard proof of it being romantical, neither hard proof of it being not. It falls in the category of "maybe?". Similarly, I see zero evidence for Spock having feelings for Uhura or Chapel in TOS, and yet the Kelvinverse and SNW decided to follow that route. Because those were also "maybes".
As for the need for more platonic friendships in media, I don't get what's the problem. 99% of relationships between men in media are depicted as strictly platonic. One would almost get the impression that no man has ever had sex with another man, if we were to judge by media alone. So I don't understand this fear of platonic friendships being somehow endangered by slash or something...