More than likely.
What you will most likely need for the most straight forward usage will be just the game cartridge, and an R4i Save Dongle or similar device.
So long as you keep the cartridge it may be possible to exploit multiple 3DS systems.
As for getting the save onto the physical cartridge, R4i Save Dongle is not the only means.
If you have a DS Lite, and a way to run homebrew on it (Slot-1 or Slot-2 cards should be fine), and a wireless router, then you should be able to use
DSaveManager.
To get the 3DS cartridge into a DS Lite though may require taking the cartridge board out of the case, or filing off that plastic nib.