Yes, you can use Rock Band drums to play this game. However, there's one trophy you won't be able to get, and that's the Tutorial one because it requires a Guitar Hero World Tour (or Band Hero) drum kit.
You can however get the trophy for beating a song on Expert+, as the game allows any drumkit with just 1 pedal to play Expert+. I know this, as I have the Expert+ trophy, and I use a Rock Band drum kit.
Platinums: Call of Duty Classic | Call of Duty: World at War | Call of Duty: Black Ops | Dead Space | Guitar Hero 5 | Karaoke Revolution | Modern Warfare 2 | Quantum of Solace | Resident Evil 5 | Rock Band 2 | Tekken 6 | Tekken Tag Tournament HD | Tom Clancy's HAWX