I seriously doubt it. Nintendo's handheld dominance is something that has never wavered. Even when the Gamecube was being laughed at last generation, the GBA was outselling the PS2 in America most weeks, and sometimes in Japan. Remember the 5th generation, where the Nintendo 64 was being whooped by the Playstation, and even the great Mario was being made fun of by the hip, awesome Crash Bandicoot? Well, back then, Nintendo had a system that actually had a 10 year plan (Gameboy was selling consistently for a long time, Pokemon Red/Blue with it). It sold more than the Playstation that generation.
The PSP was outselling the DS at first because Nintendo's image was fairly weak back in 2004 and 2005, but now, Nintendo is pretty much unstoppable (both in the handheld and console space). Some company would have to completely destroy their image again, and come back with a handheld that was hyped to hell. The PSP fit that qualification, but even then, Nintendo's games were too much.