Barkley on 19 April 2017
Nah, Nintendo had too much of a head start, there's not enough time for Sony to catch up before gaming leaves consoles behind.
Sony (Since PS1) - 501.4m
Nintendo (Since N64) - 470.44m
Sony has outperformed Nintendo on hardware sales over the same timeframe, but due to the massive success of the DS and Wii not by much. If nintendo never hit those heights again (which is more likely than not). It'd still take too long, I don't think we'll see a PlayStation 6.
