I'm not the only one to suggest so, but most don't think so.

The part where he dances with Hermoine to cheer her up and they stop dancing and they are staring at each other. Hermoine walks back to the radio and Harry Potter is still standing there looking weird.

I think that it was an unspoken invitation to a kiss. And yes I know that Ron and Hermoine are to be together and that Harry is 'with' Ginny.