Nope. The game requires too much space. I also don't recommend playing it through loadiine, the game will lag and pause to load frequently and is generally unenjoyable when you have to sit through a 5 minute loading screen just to start the game.
Grab yourself a 16 or 32 gig flash drive to install it to usb. Most people and guides say to use an HDD, but for just a few games and less money, a standard flash drive works well. There are several guides to USB and CFW installs and its honestly easier than I expected. I just switched from loadiine to USB & Haxchi myself yesterday and its way better than loadiine. I was also able to transfer my savefiles over pretty easily too.
I used haxchi, which requires buying or already having a specific nds game from the eshop. Mocha is free however. Haven't tried Mocha, but it would be as simple as using the homebrew app store to install. (I already had a haxchi compatable game, so i went all the way in with CBHC.)
Good luck!