The beauty of the BeatBuddy is that the drum sets, song and the firmware are all on the SD card. I bought mine early on and have updated it through all of these years. So, the answer is “YES”.
BeatBuddy Firmware 4.1.x “Options, lots of options!” - BeatBuddy / Docs and Downloads - Singular Sound Forum
Scroll to the bottom of the thread and Brendon posted all of the various versions of the firmware.