No it is not.
The company behind it wowed to end homebrew or anything related to it.
Commodore on the otherhand was more tolerant to it, which was maybe a mistake. Homebrew led to piracy, led to software companies not making profit, software companies leaving the Amiga platform, and death of Amiga. Sony seems dead scared about all this and doesn't let anyone but registered developers to be able to develop something for the platform. And you know companies behind the game consoles doesn't make profit from unit sales but games sales after all, so they have to keep a firm stance against piracy.