Nope, The Playstation was (almost) an add-on peripheral for the Super Nintendo. It was meant to be a joint venture between Sony and Nintendo. When the two couldn't come to agreement over the revenue split from licensing, Sony decided to jump into the gaming space and tell Nintendo to pound sand.

The only North American Prototype known to exist just sold at auction around 3 years ago for over $300,000 USD.

As for the pic, it's definitely a bootleg Famicom. There's tons of those overseas. The Famicom games on the table also give it away.