Technically, no. By the way that's the handheld version of the PC-Engine/Turbografx 16 console, they all share the same hardware, so SF2 runs on all of them.
I think it's easier to convert from tile-based graphic setups to other tile-based graphic setups (consoles,, X68000), that's all. Also the fact that it was actually converted by Capcom, which would never happen on the Amiga.
If you look at BC-Kid on the AMiga you realize it can do whatever the PC-engine can and better with the right team handling it.