Yes, people really love to suggest those two are involved.
Sometimes, even Batman and Robin's artists and writers suggest romance between the Dynamic Duo and sexual innuendo, as you can see from this oft-memed photo. And let's not talk about Joel Schumacher's Batman and Robin, not because it features latent homoeroticism, but because it's just plain terrible.
Many make this connection based on their close, ill-defined, not-quite-father-and-son relationship, satirized brilliantly in SNL's The Ambiguously Gay Duo. It's an old joke: the Caped Crusader and his Boy Wonder sidekick are actually gay lovers.
