No, Bungie said this many times that there is no trade system.
Quote from: CyberGama on September 14, 2014, 10:17:07 PMNo, Bungie said this many times that there is no trade system.Ahh. Didn't pay attention to their updates.thanks
You can't trade with other players, but I believe you can trade between your own characters. Items you put in the vaults in the Tower should be accessible by all your characters.