No. Guitar Hero: On Tour (2008) requires the Guitar Grip accessory, which plugs into the Game Boy Advance (GBA) slot (Slot-2).
All require Guitar Grip + Slot-2. No DSi/3DS support.
If you have an original DS or DS Lite + Guitar Grip, the trilogy works well. Otherwise, play Guitar Hero Live (mobile/console) or Clone Hero (PC – free, custom songs, any controller).