A key aspect is that neither Godot (the project--which doesn't exist as a legal entity) nor Godot Foundation (which exists as a legal entity but AIUI has restrictions on what activities it can perform) would be able to satisfy the requirements of the console platform vendors in terms of qualifying for access to a platform SDK.
In short, no.
The most detailed explanation of why is probably this section of this article: https://godotengine.org/article/godot-consoles-all-you-need-...
A key aspect is that neither Godot (the project--which doesn't exist as a legal entity) nor Godot Foundation (which exists as a legal entity but AIUI has restrictions on what activities it can perform) would be able to satisfy the requirements of the console platform vendors in terms of qualifying for access to a platform SDK.